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Finding the Fourth Proportional to 664.40, 915.90 and 517.52

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Solution

The fourth proportional to 664.40, 915.90 and 517.52 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 915.90 = 517.52 : x
  2. Step 2: Convert to fraction form
    664.40/915.90 = 517.52/x
  3. Step 3: Cross multiply
    664.40x = 915.90 × 517.52
  4. Step 4: Simplify right side
    664.40x = 473,996.57
  5. Step 5: Solve for x
    x = 473,996.57/664.40
  6. Step 6: Final answer
    x = 713.42

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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.