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Finding the Fourth Proportional to 476.62, 658.14 and 461.14

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Solution

The fourth proportional to 476.62, 658.14 and 461.14 is: 636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.62 : 658.14 = 461.14 : x
  2. Step 2: Convert to fraction form
    476.62/658.14 = 461.14/x
  3. Step 3: Cross multiply
    476.62x = 658.14 × 461.14
  4. Step 4: Simplify right side
    476.62x = 303,494.68
  5. Step 5: Solve for x
    x = 303,494.68/476.62
  6. Step 6: Final answer
    x = 636.76

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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.