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Finding the Fourth Proportional to 664.62, 915.24 and 517.01

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Solution

The fourth proportional to 664.62, 915.24 and 517.01 is: 711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.62 : 915.24 = 517.01 : x
  2. Step 2: Convert to fraction form
    664.62/915.24 = 517.01/x
  3. Step 3: Cross multiply
    664.62x = 915.24 × 517.01
  4. Step 4: Simplify right side
    664.62x = 473,183.66
  5. Step 5: Solve for x
    x = 473,183.66/664.62
  6. Step 6: Final answer
    x = 711.96

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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.