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Finding the Fourth Proportional to 821.99, 1,134.08 and 542.36

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Solution

The fourth proportional to 821.99, 1,134.08 and 542.36 is: 748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.99 : 1,134.08 = 542.36 : x
  2. Step 2: Convert to fraction form
    821.99/1,134.08 = 542.36/x
  3. Step 3: Cross multiply
    821.99x = 1,134.08 × 542.36
  4. Step 4: Simplify right side
    821.99x = 615,079.75
  5. Step 5: Solve for x
    x = 615,079.75/821.99
  6. Step 6: Final answer
    x = 748.28

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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.