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Finding the Fourth Proportional to 1,251.70, 1,727.35 and 727.73

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Solution

The fourth proportional to 1,251.70, 1,727.35 and 727.73 is: 1,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.70 : 1,727.35 = 727.73 : x
  2. Step 2: Convert to fraction form
    1,251.70/1,727.35 = 727.73/x
  3. Step 3: Cross multiply
    1,251.70x = 1,727.35 × 727.73
  4. Step 4: Simplify right side
    1,251.70x = 1,257,052.20
  5. Step 5: Solve for x
    x = 1,257,052.20/1,251.70
  6. Step 6: Final answer
    x = 1,004.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.