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Finding the Fourth Proportional to 519.87, 712.37 and 500.73

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Solution

The fourth proportional to 519.87, 712.37 and 500.73 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.87 : 712.37 = 500.73 : x
  2. Step 2: Convert to fraction form
    519.87/712.37 = 500.73/x
  3. Step 3: Cross multiply
    519.87x = 712.37 × 500.73
  4. Step 4: Simplify right side
    519.87x = 356,706.21
  5. Step 5: Solve for x
    x = 356,706.21/519.87
  6. Step 6: Final answer
    x = 686.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.