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Finding the Fourth Proportional to 773.73, 1,067.13 and 633.60

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Solution

The fourth proportional to 773.73, 1,067.13 and 633.60 is: 873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.73 : 1,067.13 = 633.60 : x
  2. Step 2: Convert to fraction form
    773.73/1,067.13 = 633.60/x
  3. Step 3: Cross multiply
    773.73x = 1,067.13 × 633.60
  4. Step 4: Simplify right side
    773.73x = 676,133.57
  5. Step 5: Solve for x
    x = 676,133.57/773.73
  6. Step 6: Final answer
    x = 873.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.