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Finding the Fourth Proportional to 707.92, 1,061.73 and 501.91

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Solution

The fourth proportional to 707.92, 1,061.73 and 501.91 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 1,061.73 = 501.91 : x
  2. Step 2: Convert to fraction form
    707.92/1,061.73 = 501.91/x
  3. Step 3: Cross multiply
    707.92x = 1,061.73 × 501.91
  4. Step 4: Simplify right side
    707.92x = 532,892.90
  5. Step 5: Solve for x
    x = 532,892.90/707.92
  6. Step 6: Final answer
    x = 752.76

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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.