I'll challenge that.
Natsu should be around average dude height, maybe a little smaller (this is a height comparison chart by Mashima, btw).
(1.7/291)80=0.467354m
I know perspective fucks with things, but I'll take a low-end in this scan.
(0.467354/216.53)264.2=0.57m
I'll be generous and scale from the arrow itself rather than its apparent trajectory or Gajeel himself, because actually fuck low-ends.
(0.467354/19.647)21=.5m
.57-.5=.07m
Now to angsize for a distance.
2atan(tan(70/2)*(469/440))=73.472197981908
2atan(19.647/(440/tan(73.472197981908/2)))=3.817529816452
d=7.0117
http://www.fieldandstream.com/articles/hunting/2013/08/fs-crowns-best-flagship-compound-bow-2013
Some of these compound bows (obviously around the same grade as Sagittarius's) have firing velocities of 300fps, or 91.44m/s.
7.0117/91.44=0.07668
.07/0.07668=0.918m/s
or about mach 0.0027.
There you go, Gajeel is only a little slower than normal humans tend to walk. Not too shabby, if I do say so myself.
Granted, it could be negative distance just based on the wonky scaling, but I don't think this is too outlandish.