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Finding the Fourth Proportional to 773.91, 1,067.58 and 587.09

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Solution

The fourth proportional to 773.91, 1,067.58 and 587.09 is: 809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.91 : 1,067.58 = 587.09 : x
  2. Step 2: Convert to fraction form
    773.91/1,067.58 = 587.09/x
  3. Step 3: Cross multiply
    773.91x = 1,067.58 × 587.09
  4. Step 4: Simplify right side
    773.91x = 626,760.20
  5. Step 5: Solve for x
    x = 626,760.20/773.91
  6. Step 6: Final answer
    x = 809.86

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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.