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Finding the Fourth Proportional to 1,052.72, 1,578.54 and 614.11

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Solution

The fourth proportional to 1,052.72, 1,578.54 and 614.11 is: 920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.72 : 1,578.54 = 614.11 : x
  2. Step 2: Convert to fraction form
    1,052.72/1,578.54 = 614.11/x
  3. Step 3: Cross multiply
    1,052.72x = 1,578.54 × 614.11
  4. Step 4: Simplify right side
    1,052.72x = 969,397.20
  5. Step 5: Solve for x
    x = 969,397.20/1,052.72
  6. Step 6: Final answer
    x = 920.85

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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.