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Finding the Fourth Proportional to 1,232.73, 1,847.00 and 744.75

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Solution

The fourth proportional to 1,232.73, 1,847.00 and 744.75 is: 1,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.73 : 1,847.00 = 744.75 : x
  2. Step 2: Convert to fraction form
    1,232.73/1,847.00 = 744.75/x
  3. Step 3: Cross multiply
    1,232.73x = 1,847.00 × 744.75
  4. Step 4: Simplify right side
    1,232.73x = 1,375,549.53
  5. Step 5: Solve for x
    x = 1,375,549.53/1,232.73
  6. Step 6: Final answer
    x = 1,115.86

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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.