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Finding the Fourth Proportional to 820.85, 1,231.11 and 527.88

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Solution

The fourth proportional to 820.85, 1,231.11 and 527.88 is: 791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,231.11 = 527.88 : x
  2. Step 2: Convert to fraction form
    820.85/1,231.11 = 527.88/x
  3. Step 3: Cross multiply
    820.85x = 1,231.11 × 527.88
  4. Step 4: Simplify right side
    820.85x = 649,882.96
  5. Step 5: Solve for x
    x = 649,882.96/820.85
  6. Step 6: Final answer
    x = 791.72

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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.