When there is a problem with an OS X, such as those usually installed from DVD system media
you would need to use the boot-able install-restore DVD (or later retail DVD, if not original grey
color label discs) to see about repairing the problem. You cannot update or upgrade to make a
problem go away. And an offer/download of a complete OS X system (torrent?) is not legal.
With an older computer, there is a fair chance the original hard disk drive may be failing; so that
is something to think about when you have an internal hard disk drive that spins thousands of
rotations per minute and gets written to & read from millions/billions of times a year....
The download update is only a minor step, and if you chose to download that from somewhere
other than the Software Update (via computer access to Apple Server) the actual one to seek
if everything was in great shape with your computer, would be the Combo 10.4.11 last update.
These steps are considered updates & not upgrades. The distinction is more than a word deep.
You will have to locate the correct DVD install media since a download from the internet of a
complete OS X Tiger 10.4 system is not available online; anything you may find very likely is
an illegal download and may be full of bogus content, such as malware or missing files, etc.
Apple no longer sells these discs, you may contact Apple sales support and have your product
serial number (PowerBook G4) available to ask an OS X specialist, if it is possible to get some
kind of operating system install DVD for that old a computer. The newest it could run would be
Leopard 10.5 (install from DVD, then download update to 10.5.8) however the Tiger 10.4 DVD
may be an expensive item if you look at Amazon or eBay sites online. Expect to pay...
You may have some luck if there happens to be an Apple User Group in your locality or if a
school or university has a computer lab and has not cleaned out their archive of old OS X.
School rummage sales, second hand shops, and other local finds are random luck events.
Good luck & happy computing! 🙂