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Finding the Fourth Proportional to 664.39, 915.60 and 477.55

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Solution

The fourth proportional to 664.39, 915.60 and 477.55 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.39 : 915.60 = 477.55 : x
  2. Step 2: Convert to fraction form
    664.39/915.60 = 477.55/x
  3. Step 3: Cross multiply
    664.39x = 915.60 × 477.55
  4. Step 4: Simplify right side
    664.39x = 437,244.78
  5. Step 5: Solve for x
    x = 437,244.78/664.39
  6. Step 6: Final answer
    x = 658.11

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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.