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Finding the Fourth Proportional to 458.49, 686.76 and 284.76

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Solution

The fourth proportional to 458.49, 686.76 and 284.76 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.49 : 686.76 = 284.76 : x
  2. Step 2: Convert to fraction form
    458.49/686.76 = 284.76/x
  3. Step 3: Cross multiply
    458.49x = 686.76 × 284.76
  4. Step 4: Simplify right side
    458.49x = 195,561.78
  5. Step 5: Solve for x
    x = 195,561.78/458.49
  6. Step 6: Final answer
    x = 426.53

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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.