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Finding the Fourth Proportional to 932.63, 1,397.12 and 715.15

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Solution

The fourth proportional to 932.63, 1,397.12 and 715.15 is: 1,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.63 : 1,397.12 = 715.15 : x
  2. Step 2: Convert to fraction form
    932.63/1,397.12 = 715.15/x
  3. Step 3: Cross multiply
    932.63x = 1,397.12 × 715.15
  4. Step 4: Simplify right side
    932.63x = 999,143.38
  5. Step 5: Solve for x
    x = 999,143.38/932.63
  6. Step 6: Final answer
    x = 1,071.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.