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Finding the Fourth Proportional to 1,642.18, 2,463.20 and 487.92

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Solution

The fourth proportional to 1,642.18, 2,463.20 and 487.92 is: 731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.18 : 2,463.20 = 487.92 : x
  2. Step 2: Convert to fraction form
    1,642.18/2,463.20 = 487.92/x
  3. Step 3: Cross multiply
    1,642.18x = 2,463.20 × 487.92
  4. Step 4: Simplify right side
    1,642.18x = 1,201,844.54
  5. Step 5: Solve for x
    x = 1,201,844.54/1,642.18
  6. Step 6: Final answer
    x = 731.86

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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.