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Finding the Fourth Proportional to 658.64, 908.24 and 471.76

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Solution

The fourth proportional to 658.64, 908.24 and 471.76 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 908.24 = 471.76 : x
  2. Step 2: Convert to fraction form
    658.64/908.24 = 471.76/x
  3. Step 3: Cross multiply
    658.64x = 908.24 × 471.76
  4. Step 4: Simplify right side
    658.64x = 428,471.30
  5. Step 5: Solve for x
    x = 428,471.30/658.64
  6. Step 6: Final answer
    x = 650.54

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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.