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Finding the Fourth Proportional to 478.46, 658.88 and 411.52

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Solution

The fourth proportional to 478.46, 658.88 and 411.52 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 658.88 = 411.52 : x
  2. Step 2: Convert to fraction form
    478.46/658.88 = 411.52/x
  3. Step 3: Cross multiply
    478.46x = 658.88 × 411.52
  4. Step 4: Simplify right side
    478.46x = 271,142.30
  5. Step 5: Solve for x
    x = 271,142.30/478.46
  6. Step 6: Final answer
    x = 566.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.