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Finding the Fourth Proportional to 727.72, 1,087.42 and 711.30

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Solution

The fourth proportional to 727.72, 1,087.42 and 711.30 is: 1,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,087.42 = 711.30 : x
  2. Step 2: Convert to fraction form
    727.72/1,087.42 = 711.30/x
  3. Step 3: Cross multiply
    727.72x = 1,087.42 × 711.30
  4. Step 4: Simplify right side
    727.72x = 773,481.85
  5. Step 5: Solve for x
    x = 773,481.85/727.72
  6. Step 6: Final answer
    x = 1,062.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.