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Finding the Fourth Proportional to 664.32, 915.78 and 477.75

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Solution

The fourth proportional to 664.32, 915.78 and 477.75 is: 658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 915.78 = 477.75 : x
  2. Step 2: Convert to fraction form
    664.32/915.78 = 477.75/x
  3. Step 3: Cross multiply
    664.32x = 915.78 × 477.75
  4. Step 4: Simplify right side
    664.32x = 437,513.90
  5. Step 5: Solve for x
    x = 437,513.90/664.32
  6. Step 6: Final answer
    x = 658.59

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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.