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Finding the Fourth Proportional to 1,251.76, 1,727.64 and 728.09

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Solution

The fourth proportional to 1,251.76, 1,727.64 and 728.09 is: 1,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.76 : 1,727.64 = 728.09 : x
  2. Step 2: Convert to fraction form
    1,251.76/1,727.64 = 728.09/x
  3. Step 3: Cross multiply
    1,251.76x = 1,727.64 × 728.09
  4. Step 4: Simplify right side
    1,251.76x = 1,257,873.77
  5. Step 5: Solve for x
    x = 1,257,873.77/1,251.76
  6. Step 6: Final answer
    x = 1,004.89

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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.