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Finding the Fourth Proportional to 868.05, 1,198.90 and 633.05

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Solution

The fourth proportional to 868.05, 1,198.90 and 633.05 is: 874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.05 : 1,198.90 = 633.05 : x
  2. Step 2: Convert to fraction form
    868.05/1,198.90 = 633.05/x
  3. Step 3: Cross multiply
    868.05x = 1,198.90 × 633.05
  4. Step 4: Simplify right side
    868.05x = 758,963.65
  5. Step 5: Solve for x
    x = 758,963.65/868.05
  6. Step 6: Final answer
    x = 874.33

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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.