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Finding the Fourth Proportional to 854.04, 1,178.24 and 539.22

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Solution

The fourth proportional to 854.04, 1,178.24 and 539.22 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,178.24 = 539.22 : x
  2. Step 2: Convert to fraction form
    854.04/1,178.24 = 539.22/x
  3. Step 3: Cross multiply
    854.04x = 1,178.24 × 539.22
  4. Step 4: Simplify right side
    854.04x = 635,327.88
  5. Step 5: Solve for x
    x = 635,327.88/854.04
  6. Step 6: Final answer
    x = 743.91

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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.