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Finding the Fourth Proportional to 773.62, 1,067.31 and 441.95

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Solution

The fourth proportional to 773.62, 1,067.31 and 441.95 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.62 : 1,067.31 = 441.95 : x
  2. Step 2: Convert to fraction form
    773.62/1,067.31 = 441.95/x
  3. Step 3: Cross multiply
    773.62x = 1,067.31 × 441.95
  4. Step 4: Simplify right side
    773.62x = 471,697.65
  5. Step 5: Solve for x
    x = 471,697.65/773.62
  6. Step 6: Final answer
    x = 609.73

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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.