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Finding the Fourth Proportional to 916.57, 1,263.15 and 654.13

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Solution

The fourth proportional to 916.57, 1,263.15 and 654.13 is: 901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.57 : 1,263.15 = 654.13 : x
  2. Step 2: Convert to fraction form
    916.57/1,263.15 = 654.13/x
  3. Step 3: Cross multiply
    916.57x = 1,263.15 × 654.13
  4. Step 4: Simplify right side
    916.57x = 826,261.15
  5. Step 5: Solve for x
    x = 826,261.15/916.57
  6. Step 6: Final answer
    x = 901.47

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Double 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.