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Finding the Fourth Proportional to 728.52, 1,093.88 and 717.72

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Solution

The fourth proportional to 728.52, 1,093.88 and 717.72 is: 1,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,093.88 = 717.72 : x
  2. Step 2: Convert to fraction form
    728.52/1,093.88 = 717.72/x
  3. Step 3: Cross multiply
    728.52x = 1,093.88 × 717.72
  4. Step 4: Simplify right side
    728.52x = 785,099.55
  5. Step 5: Solve for x
    x = 785,099.55/728.52
  6. Step 6: Final answer
    x = 1,077.66

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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.