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Finding the Fourth Proportional to 1,100.96, 1,650 and 614.24

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Solution

The fourth proportional to 1,100.96, 1,650 and 614.24 is: 920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,650 = 614.24 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,650 = 614.24/x
  3. Step 3: Cross multiply
    1,100.96x = 1,650 × 614.24
  4. Step 4: Simplify right side
    1,100.96x = 1,013,496
  5. Step 5: Solve for x
    x = 1,013,496/1,100.96
  6. Step 6: Final answer
    x = 920.56

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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.