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Finding the Fourth Proportional to 663.32, 915.49 and 477.43

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Solution

The fourth proportional to 663.32, 915.49 and 477.43 is: 658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.32 : 915.49 = 477.43 : x
  2. Step 2: Convert to fraction form
    663.32/915.49 = 477.43/x
  3. Step 3: Cross multiply
    663.32x = 915.49 × 477.43
  4. Step 4: Simplify right side
    663.32x = 437,080.70
  5. Step 5: Solve for x
    x = 437,080.70/663.32
  6. Step 6: Final answer
    x = 658.93

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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.