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Finding the Fourth Proportional to 614.97, 921.94 and 499.13

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Solution

The fourth proportional to 614.97, 921.94 and 499.13 is: 748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.97 : 921.94 = 499.13 : x
  2. Step 2: Convert to fraction form
    614.97/921.94 = 499.13/x
  3. Step 3: Cross multiply
    614.97x = 921.94 × 499.13
  4. Step 4: Simplify right side
    614.97x = 460,170.97
  5. Step 5: Solve for x
    x = 460,170.97/614.97
  6. Step 6: Final answer
    x = 748.28

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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.