Hi Jay,
If it's a discrete 4 channel quad (4 channel, 4 track) the track layout for the front channels is the same as the "side 1" tracks of a 1/4 track (1&3). The rear channels are tracks 2&4 and in some cases will be out of phase with the fronts.
Since you have a switchable 1/4 track/1/2 track you could always do " stupid tape tricks" and give both settings a try with each example of quad tapes you come across (can't hurt).
Hopefully the layout of the tracks and the widths of the recording will match up well enough so you won't get any fringing effects on track #3 (right channel) which could raise the level by a bit. That kinda stuff might vary from tape to tape though.