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Finding the Fourth Proportional to 1,489.48, 2,234.24 and 515.61

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Solution

The fourth proportional to 1,489.48, 2,234.24 and 515.61 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.48 : 2,234.24 = 515.61 : x
  2. Step 2: Convert to fraction form
    1,489.48/2,234.24 = 515.61/x
  3. Step 3: Cross multiply
    1,489.48x = 2,234.24 × 515.61
  4. Step 4: Simplify right side
    1,489.48x = 1,151,997.78
  5. Step 5: Solve for x
    x = 1,151,997.78/1,489.48
  6. Step 6: Final answer
    x = 773.42

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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.