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Finding the Fourth Proportional to 728.48, 1,092.15 and 363.08

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Solution

The fourth proportional to 728.48, 1,092.15 and 363.08 is: 544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.48 : 1,092.15 = 363.08 : x
  2. Step 2: Convert to fraction form
    728.48/1,092.15 = 363.08/x
  3. Step 3: Cross multiply
    728.48x = 1,092.15 × 363.08
  4. Step 4: Simplify right side
    728.48x = 396,540.55
  5. Step 5: Solve for x
    x = 396,540.55/728.48
  6. Step 6: Final answer
    x = 544.34

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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.