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Finding the Fourth Proportional to 773.68, 1,067.41 and 441.87

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Solution

The fourth proportional to 773.68, 1,067.41 and 441.87 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.68 : 1,067.41 = 441.87 : x
  2. Step 2: Convert to fraction form
    773.68/1,067.41 = 441.87/x
  3. Step 3: Cross multiply
    773.68x = 1,067.41 × 441.87
  4. Step 4: Simplify right side
    773.68x = 471,656.46
  5. Step 5: Solve for x
    x = 471,656.46/773.68
  6. Step 6: Final answer
    x = 609.63

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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.