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Finding the Fourth Proportional to 664.93, 997.26 and 254.13

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Solution

The fourth proportional to 664.93, 997.26 and 254.13 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.93 : 997.26 = 254.13 : x
  2. Step 2: Convert to fraction form
    664.93/997.26 = 254.13/x
  3. Step 3: Cross multiply
    664.93x = 997.26 × 254.13
  4. Step 4: Simplify right side
    664.93x = 253,433.68
  5. Step 5: Solve for x
    x = 253,433.68/664.93
  6. Step 6: Final answer
    x = 381.14

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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.