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Finding the Fourth Proportional to 822.12, 1,230.84 and 547.56

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Solution

The fourth proportional to 822.12, 1,230.84 and 547.56 is: 819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,230.84 = 547.56 : x
  2. Step 2: Convert to fraction form
    822.12/1,230.84 = 547.56/x
  3. Step 3: Cross multiply
    822.12x = 1,230.84 × 547.56
  4. Step 4: Simplify right side
    822.12x = 673,958.75
  5. Step 5: Solve for x
    x = 673,958.75/822.12
  6. Step 6: Final answer
    x = 819.78

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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.