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Finding the Fourth Proportional to 905.24, 1,357.78 and 614.61

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Solution

The fourth proportional to 905.24, 1,357.78 and 614.61 is: 921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,357.78 = 614.61 : x
  2. Step 2: Convert to fraction form
    905.24/1,357.78 = 614.61/x
  3. Step 3: Cross multiply
    905.24x = 1,357.78 × 614.61
  4. Step 4: Simplify right side
    905.24x = 834,505.17
  5. Step 5: Solve for x
    x = 834,505.17/905.24
  6. Step 6: Final answer
    x = 921.86

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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.