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Finding the Fourth Proportional to 477.48, 658.71 and 337.80

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Solution

The fourth proportional to 477.48, 658.71 and 337.80 is: 466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 658.71 = 337.80 : x
  2. Step 2: Convert to fraction form
    477.48/658.71 = 337.80/x
  3. Step 3: Cross multiply
    477.48x = 658.71 × 337.80
  4. Step 4: Simplify right side
    477.48x = 222,512.24
  5. Step 5: Solve for x
    x = 222,512.24/477.48
  6. Step 6: Final answer
    x = 466.01

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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.