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Finding the Fourth Proportional to 1,147.97, 1,717.83 and 994.41

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Solution

The fourth proportional to 1,147.97, 1,717.83 and 994.41 is: 1,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.97 : 1,717.83 = 994.41 : x
  2. Step 2: Convert to fraction form
    1,147.97/1,717.83 = 994.41/x
  3. Step 3: Cross multiply
    1,147.97x = 1,717.83 × 994.41
  4. Step 4: Simplify right side
    1,147.97x = 1,708,227.33
  5. Step 5: Solve for x
    x = 1,708,227.33/1,147.97
  6. Step 6: Final answer
    x = 1,488.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.