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Finding the Fourth Proportional to 1,251.56, 1,727.26 and 720.61

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Solution

The fourth proportional to 1,251.56, 1,727.26 and 720.61 is: 994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 1,727.26 = 720.61 : x
  2. Step 2: Convert to fraction form
    1,251.56/1,727.26 = 720.61/x
  3. Step 3: Cross multiply
    1,251.56x = 1,727.26 × 720.61
  4. Step 4: Simplify right side
    1,251.56x = 1,244,680.83
  5. Step 5: Solve for x
    x = 1,244,680.83/1,251.56
  6. Step 6: Final answer
    x = 994.50

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Why These Related Problems?

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