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Finding the Fourth Proportional to 932.49, 1,287.63 and 747

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Solution

The fourth proportional to 932.49, 1,287.63 and 747 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.49 : 1,287.63 = 747 : x
  2. Step 2: Convert to fraction form
    932.49/1,287.63 = 747/x
  3. Step 3: Cross multiply
    932.49x = 1,287.63 × 747
  4. Step 4: Simplify right side
    932.49x = 961,859.61
  5. Step 5: Solve for x
    x = 961,859.61/932.49
  6. Step 6: Final answer
    x = 1,031.50

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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.