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Finding the Fourth Proportional to 475.07, 658.13 and 463.73

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Solution

The fourth proportional to 475.07, 658.13 and 463.73 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 658.13 = 463.73 : x
  2. Step 2: Convert to fraction form
    475.07/658.13 = 463.73/x
  3. Step 3: Cross multiply
    475.07x = 658.13 × 463.73
  4. Step 4: Simplify right side
    475.07x = 305,189.02
  5. Step 5: Solve for x
    x = 305,189.02/475.07
  6. Step 6: Final answer
    x = 642.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.