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Finding the Fourth Proportional to 821.22, 1,229.94 and 531.78

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Solution

The fourth proportional to 821.22, 1,229.94 and 531.78 is: 796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,229.94 = 531.78 : x
  2. Step 2: Convert to fraction form
    821.22/1,229.94 = 531.78/x
  3. Step 3: Cross multiply
    821.22x = 1,229.94 × 531.78
  4. Step 4: Simplify right side
    821.22x = 654,057.49
  5. Step 5: Solve for x
    x = 654,057.49/821.22
  6. Step 6: Final answer
    x = 796.45

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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.