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Finding the Fourth Proportional to 728.43, 1,096.92 and 524.43

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Solution

The fourth proportional to 728.43, 1,096.92 and 524.43 is: 789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.43 : 1,096.92 = 524.43 : x
  2. Step 2: Convert to fraction form
    728.43/1,096.92 = 524.43/x
  3. Step 3: Cross multiply
    728.43x = 1,096.92 × 524.43
  4. Step 4: Simplify right side
    728.43x = 575,259.72
  5. Step 5: Solve for x
    x = 575,259.72/728.43
  6. Step 6: Final answer
    x = 789.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.