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Finding the Fourth Proportional to 932.61, 1,287.27 and 747.39

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Solution

The fourth proportional to 932.61, 1,287.27 and 747.39 is: 1,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.61 : 1,287.27 = 747.39 : x
  2. Step 2: Convert to fraction form
    932.61/1,287.27 = 747.39/x
  3. Step 3: Cross multiply
    932.61x = 1,287.27 × 747.39
  4. Step 4: Simplify right side
    932.61x = 962,092.73
  5. Step 5: Solve for x
    x = 962,092.73/932.61
  6. Step 6: Final answer
    x = 1,031.61

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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.