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Finding the Fourth Proportional to 547.11, 820.89 and 431.69

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Solution

The fourth proportional to 547.11, 820.89 and 431.69 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 820.89 = 431.69 : x
  2. Step 2: Convert to fraction form
    547.11/820.89 = 431.69/x
  3. Step 3: Cross multiply
    547.11x = 820.89 × 431.69
  4. Step 4: Simplify right side
    547.11x = 354,365.90
  5. Step 5: Solve for x
    x = 354,365.90/547.11
  6. Step 6: Final answer
    x = 647.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.