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Finding the Fourth Proportional to 793.67, 1,092.06 and 728.87

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Solution

The fourth proportional to 793.67, 1,092.06 and 728.87 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.67 : 1,092.06 = 728.87 : x
  2. Step 2: Convert to fraction form
    793.67/1,092.06 = 728.87/x
  3. Step 3: Cross multiply
    793.67x = 1,092.06 × 728.87
  4. Step 4: Simplify right side
    793.67x = 795,964.31
  5. Step 5: Solve for x
    x = 795,964.31/793.67
  6. Step 6: Final answer
    x = 1,002.90

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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.