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Finding the Fourth Proportional to 476.87, 658.49 and 461.39

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Solution

The fourth proportional to 476.87, 658.49 and 461.39 is: 637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 658.49 = 461.39 : x
  2. Step 2: Convert to fraction form
    476.87/658.49 = 461.39/x
  3. Step 3: Cross multiply
    476.87x = 658.49 × 461.39
  4. Step 4: Simplify right side
    476.87x = 303,815.10
  5. Step 5: Solve for x
    x = 303,815.10/476.87
  6. Step 6: Final answer
    x = 637.11

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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.