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Finding the Fourth Proportional to 821.41, 1,134.01 and 542.31

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Solution

The fourth proportional to 821.41, 1,134.01 and 542.31 is: 748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.41 : 1,134.01 = 542.31 : x
  2. Step 2: Convert to fraction form
    821.41/1,134.01 = 542.31/x
  3. Step 3: Cross multiply
    821.41x = 1,134.01 × 542.31
  4. Step 4: Simplify right side
    821.41x = 614,984.96
  5. Step 5: Solve for x
    x = 614,984.96/821.41
  6. Step 6: Final answer
    x = 748.69

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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.