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Finding the Fourth Proportional to 906.11, 1,247.27 and 789.47

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Solution

The fourth proportional to 906.11, 1,247.27 and 789.47 is: 1,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.11 : 1,247.27 = 789.47 : x
  2. Step 2: Convert to fraction form
    906.11/1,247.27 = 789.47/x
  3. Step 3: Cross multiply
    906.11x = 1,247.27 × 789.47
  4. Step 4: Simplify right side
    906.11x = 984,672.06
  5. Step 5: Solve for x
    x = 984,672.06/906.11
  6. Step 6: Final answer
    x = 1,086.71

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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.