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Finding the Fourth Proportional to 2,257.46, 3,385.66 and 614.13

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Solution

The fourth proportional to 2,257.46, 3,385.66 and 614.13 is: 921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.46 : 3,385.66 = 614.13 : x
  2. Step 2: Convert to fraction form
    2,257.46/3,385.66 = 614.13/x
  3. Step 3: Cross multiply
    2,257.46x = 3,385.66 × 614.13
  4. Step 4: Simplify right side
    2,257.46x = 2,079,235.38
  5. Step 5: Solve for x
    x = 2,079,235.38/2,257.46
  6. Step 6: Final answer
    x = 921.05

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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.