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Finding the Fourth Proportional to 773.24, 1,067.14 and 441.77

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Solution

The fourth proportional to 773.24, 1,067.14 and 441.77 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.24 : 1,067.14 = 441.77 : x
  2. Step 2: Convert to fraction form
    773.24/1,067.14 = 441.77/x
  3. Step 3: Cross multiply
    773.24x = 1,067.14 × 441.77
  4. Step 4: Simplify right side
    773.24x = 471,430.44
  5. Step 5: Solve for x
    x = 471,430.44/773.24
  6. Step 6: Final answer
    x = 609.68

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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.