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Finding the Fourth Proportional to 821.87, 1,134.61 and 542.56

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Solution

The fourth proportional to 821.87, 1,134.61 and 542.56 is: 749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.87 : 1,134.61 = 542.56 : x
  2. Step 2: Convert to fraction form
    821.87/1,134.61 = 542.56/x
  3. Step 3: Cross multiply
    821.87x = 1,134.61 × 542.56
  4. Step 4: Simplify right side
    821.87x = 615,594.00
  5. Step 5: Solve for x
    x = 615,594.00/821.87
  6. Step 6: Final answer
    x = 749.02

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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.