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Finding the Fourth Proportional to 728.46, 1,091.08 and 523.43

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Solution

The fourth proportional to 728.46, 1,091.08 and 523.43 is: 783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.46 : 1,091.08 = 523.43 : x
  2. Step 2: Convert to fraction form
    728.46/1,091.08 = 523.43/x
  3. Step 3: Cross multiply
    728.46x = 1,091.08 × 523.43
  4. Step 4: Simplify right side
    728.46x = 571,103.29
  5. Step 5: Solve for x
    x = 571,103.29/728.46
  6. Step 6: Final answer
    x = 783.99

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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.