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Finding the Fourth Proportional to 821.82, 1,134.30 and 542.08

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Solution

The fourth proportional to 821.82, 1,134.30 and 542.08 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,134.30 = 542.08 : x
  2. Step 2: Convert to fraction form
    821.82/1,134.30 = 542.08/x
  3. Step 3: Cross multiply
    821.82x = 1,134.30 × 542.08
  4. Step 4: Simplify right side
    821.82x = 614,881.34
  5. Step 5: Solve for x
    x = 614,881.34/821.82
  6. Step 6: Final answer
    x = 748.19

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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.