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Finding the Fourth Proportional to 761.28, 1,049.13 and 747.24

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Solution

The fourth proportional to 761.28, 1,049.13 and 747.24 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.28 : 1,049.13 = 747.24 : x
  2. Step 2: Convert to fraction form
    761.28/1,049.13 = 747.24/x
  3. Step 3: Cross multiply
    761.28x = 1,049.13 × 747.24
  4. Step 4: Simplify right side
    761.28x = 783,951.90
  5. Step 5: Solve for x
    x = 783,951.90/761.28
  6. Step 6: Final answer
    x = 1,029.78

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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.