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Finding the Fourth Proportional to 500.50, 686.95 and 458.95

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Solution

The fourth proportional to 500.50, 686.95 and 458.95 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 686.95 = 458.95 : x
  2. Step 2: Convert to fraction form
    500.50/686.95 = 458.95/x
  3. Step 3: Cross multiply
    500.50x = 686.95 × 458.95
  4. Step 4: Simplify right side
    500.50x = 315,275.70
  5. Step 5: Solve for x
    x = 315,275.70/500.50
  6. Step 6: Final answer
    x = 629.92

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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.