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Finding the Fourth Proportional to 868.11, 1,195.34 and 798.45

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Solution

The fourth proportional to 868.11, 1,195.34 and 798.45 is: 1,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.11 : 1,195.34 = 798.45 : x
  2. Step 2: Convert to fraction form
    868.11/1,195.34 = 798.45/x
  3. Step 3: Cross multiply
    868.11x = 1,195.34 × 798.45
  4. Step 4: Simplify right side
    868.11x = 954,415.23
  5. Step 5: Solve for x
    x = 954,415.23/868.11
  6. Step 6: Final answer
    x = 1,099.42

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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.