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Finding the Fourth Proportional to 821.11, 1,231.82 and 496.09

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Solution

The fourth proportional to 821.11, 1,231.82 and 496.09 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.11 : 1,231.82 = 496.09 : x
  2. Step 2: Convert to fraction form
    821.11/1,231.82 = 496.09/x
  3. Step 3: Cross multiply
    821.11x = 1,231.82 × 496.09
  4. Step 4: Simplify right side
    821.11x = 611,091.10
  5. Step 5: Solve for x
    x = 611,091.10/821.11
  6. Step 6: Final answer
    x = 744.23

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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.