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Finding the Fourth Proportional to 821.82, 1,233.28 and 451.78

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Solution

The fourth proportional to 821.82, 1,233.28 and 451.78 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,233.28 = 451.78 : x
  2. Step 2: Convert to fraction form
    821.82/1,233.28 = 451.78/x
  3. Step 3: Cross multiply
    821.82x = 1,233.28 × 451.78
  4. Step 4: Simplify right side
    821.82x = 557,171.24
  5. Step 5: Solve for x
    x = 557,171.24/821.82
  6. Step 6: Final answer
    x = 677.97

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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.