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Finding the Fourth Proportional to 728.29, 1,091.78 and 265.75

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Solution

The fourth proportional to 728.29, 1,091.78 and 265.75 is: 398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.29 : 1,091.78 = 265.75 : x
  2. Step 2: Convert to fraction form
    728.29/1,091.78 = 265.75/x
  3. Step 3: Cross multiply
    728.29x = 1,091.78 × 265.75
  4. Step 4: Simplify right side
    728.29x = 290,137.97
  5. Step 5: Solve for x
    x = 290,137.97/728.29
  6. Step 6: Final answer
    x = 398.38

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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.