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Finding the Fourth Proportional to 482.87, 724.92 and 457.36

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Solution

The fourth proportional to 482.87, 724.92 and 457.36 is: 686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.87 : 724.92 = 457.36 : x
  2. Step 2: Convert to fraction form
    482.87/724.92 = 457.36/x
  3. Step 3: Cross multiply
    482.87x = 724.92 × 457.36
  4. Step 4: Simplify right side
    482.87x = 331,543.50
  5. Step 5: Solve for x
    x = 331,543.50/482.87
  6. Step 6: Final answer
    x = 686.61

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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.