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Finding the Fourth Proportional to 664.92, 997.57 and 254.09

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Solution

The fourth proportional to 664.92, 997.57 and 254.09 is: 381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.92 : 997.57 = 254.09 : x
  2. Step 2: Convert to fraction form
    664.92/997.57 = 254.09/x
  3. Step 3: Cross multiply
    664.92x = 997.57 × 254.09
  4. Step 4: Simplify right side
    664.92x = 253,472.56
  5. Step 5: Solve for x
    x = 253,472.56/664.92
  6. Step 6: Final answer
    x = 381.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.