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Finding the Fourth Proportional to 821.67, 1,133.56 and 542.22

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Solution

The fourth proportional to 821.67, 1,133.56 and 542.22 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.67 : 1,133.56 = 542.22 : x
  2. Step 2: Convert to fraction form
    821.67/1,133.56 = 542.22/x
  3. Step 3: Cross multiply
    821.67x = 1,133.56 × 542.22
  4. Step 4: Simplify right side
    821.67x = 614,638.90
  5. Step 5: Solve for x
    x = 614,638.90/821.67
  6. Step 6: Final answer
    x = 748.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.