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Finding the Fourth Proportional to 773.13, 1,067.24 and 537.42

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Solution

The fourth proportional to 773.13, 1,067.24 and 537.42 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,067.24 = 537.42 : x
  2. Step 2: Convert to fraction form
    773.13/1,067.24 = 537.42/x
  3. Step 3: Cross multiply
    773.13x = 1,067.24 × 537.42
  4. Step 4: Simplify right side
    773.13x = 573,556.12
  5. Step 5: Solve for x
    x = 573,556.12/773.13
  6. Step 6: Final answer
    x = 741.86

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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.