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Finding the Fourth Proportional to 854.07, 1,178.24 and 539.11

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Solution

The fourth proportional to 854.07, 1,178.24 and 539.11 is: 743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.07 : 1,178.24 = 539.11 : x
  2. Step 2: Convert to fraction form
    854.07/1,178.24 = 539.11/x
  3. Step 3: Cross multiply
    854.07x = 1,178.24 × 539.11
  4. Step 4: Simplify right side
    854.07x = 635,200.97
  5. Step 5: Solve for x
    x = 635,200.97/854.07
  6. Step 6: Final answer
    x = 743.73

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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.