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Finding the Fourth Proportional to 773.28, 1,067.57 and 489.78

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Solution

The fourth proportional to 773.28, 1,067.57 and 489.78 is: 676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,067.57 = 489.78 : x
  2. Step 2: Convert to fraction form
    773.28/1,067.57 = 489.78/x
  3. Step 3: Cross multiply
    773.28x = 1,067.57 × 489.78
  4. Step 4: Simplify right side
    773.28x = 522,871.99
  5. Step 5: Solve for x
    x = 522,871.99/773.28
  6. Step 6: Final answer
    x = 676.17

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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.