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Finding the Fourth Proportional to 609.03, 839.19 and 542.82

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Solution

The fourth proportional to 609.03, 839.19 and 542.82 is: 747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.03 : 839.19 = 542.82 : x
  2. Step 2: Convert to fraction form
    609.03/839.19 = 542.82/x
  3. Step 3: Cross multiply
    609.03x = 839.19 × 542.82
  4. Step 4: Simplify right side
    609.03x = 455,529.12
  5. Step 5: Solve for x
    x = 455,529.12/609.03
  6. Step 6: Final answer
    x = 747.96

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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.