Home / 1,500.20-2,251.73-731.24

Finding the Fourth Proportional to 1,500.20, 2,251.73 and 731.24

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Solution

The fourth proportional to 1,500.20, 2,251.73 and 731.24 is: 1,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.20 : 2,251.73 = 731.24 : x
  2. Step 2: Convert to fraction form
    1,500.20/2,251.73 = 731.24/x
  3. Step 3: Cross multiply
    1,500.20x = 2,251.73 × 731.24
  4. Step 4: Simplify right side
    1,500.20x = 1,646,545.61
  5. Step 5: Solve for x
    x = 1,646,545.61/1,500.20
  6. Step 6: Final answer
    x = 1,097.55

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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.