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Finding the Fourth Proportional to 773.23, 1,067.02 and 423.85

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Solution

The fourth proportional to 773.23, 1,067.02 and 423.85 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.23 : 1,067.02 = 423.85 : x
  2. Step 2: Convert to fraction form
    773.23/1,067.02 = 423.85/x
  3. Step 3: Cross multiply
    773.23x = 1,067.02 × 423.85
  4. Step 4: Simplify right side
    773.23x = 452,256.43
  5. Step 5: Solve for x
    x = 452,256.43/773.23
  6. Step 6: Final answer
    x = 584.89

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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.