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Finding the Fourth Proportional to 457.30, 686.96 and 284.10

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Solution

The fourth proportional to 457.30, 686.96 and 284.10 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.30 : 686.96 = 284.10 : x
  2. Step 2: Convert to fraction form
    457.30/686.96 = 284.10/x
  3. Step 3: Cross multiply
    457.30x = 686.96 × 284.10
  4. Step 4: Simplify right side
    457.30x = 195,165.34
  5. Step 5: Solve for x
    x = 195,165.34/457.30
  6. Step 6: Final answer
    x = 426.78

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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.