## Calculation explanation of above example

**Visualisation of the data table above**

**Calculation**

X = 451 lies between X = 400 and X = 500. X-fraction = (451 - 400)/(500 - 400) = 0.51

Y = 75 lies between Y = 60 and Y = 80. Y-fraction = (75 - 60)/(80 - 60) = 0.75

The 4 data point values to interpolate between are (X,Y):

1. (400,60) = 149

2. (500,60) = 163

3. (400,80) = 169

4. (500,80) = 187

Interpolation X:

1.&2. → 149 + 0.51 × (163 - 149) = 156.14

3.&4. → 169 + 0.51 × (187 - 169) = 178.18

Interpolation Y:

156.14 + 0.75 × (178.18 - 156.14) = 172.67 which is the final result.