from his avatar, I'd say its deffo a k3 and not a k4, it has suzuki printed on the tank, and it has the higher rear (that is if your bike is the one in the avatar) thefore I'd say this seat will fit a k4 to k6, and you do indeed appear to have a k3 on an 04 plate.
If only I had the dosh to tart up my sv just now