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Finding the Fourth Proportional to 1,565.19, 2,159.89 and 902.16

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Solution

The fourth proportional to 1,565.19, 2,159.89 and 902.16 is: 1,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.19 : 2,159.89 = 902.16 : x
  2. Step 2: Convert to fraction form
    1,565.19/2,159.89 = 902.16/x
  3. Step 3: Cross multiply
    1,565.19x = 2,159.89 × 902.16
  4. Step 4: Simplify right side
    1,565.19x = 1,948,566.36
  5. Step 5: Solve for x
    x = 1,948,566.36/1,565.19
  6. Step 6: Final answer
    x = 1,244.94

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.