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Finding the Fourth Proportional to 515.52, 709.24 and 500.92

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Solution

The fourth proportional to 515.52, 709.24 and 500.92 is: 689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 709.24 = 500.92 : x
  2. Step 2: Convert to fraction form
    515.52/709.24 = 500.92/x
  3. Step 3: Cross multiply
    515.52x = 709.24 × 500.92
  4. Step 4: Simplify right side
    515.52x = 355,272.50
  5. Step 5: Solve for x
    x = 355,272.50/515.52
  6. Step 6: Final answer
    x = 689.15

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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.