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Finding the Fourth Proportional to 820.87, 1,231.61 and 496.46

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Solution

The fourth proportional to 820.87, 1,231.61 and 496.46 is: 744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.87 : 1,231.61 = 496.46 : x
  2. Step 2: Convert to fraction form
    820.87/1,231.61 = 496.46/x
  3. Step 3: Cross multiply
    820.87x = 1,231.61 × 496.46
  4. Step 4: Simplify right side
    820.87x = 611,445.70
  5. Step 5: Solve for x
    x = 611,445.70/820.87
  6. Step 6: Final answer
    x = 744.88

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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.