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Finding the Fourth Proportional to 1,642.28, 2,462.81 and 667.85

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Solution

The fourth proportional to 1,642.28, 2,462.81 and 667.85 is: 1,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.28 : 2,462.81 = 667.85 : x
  2. Step 2: Convert to fraction form
    1,642.28/2,462.81 = 667.85/x
  3. Step 3: Cross multiply
    1,642.28x = 2,462.81 × 667.85
  4. Step 4: Simplify right side
    1,642.28x = 1,644,772.01
  5. Step 5: Solve for x
    x = 1,644,772.01/1,642.28
  6. Step 6: Final answer
    x = 1,001.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.