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Finding the Fourth Proportional to 868.50, 1,197.81 and 633.29

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Solution

The fourth proportional to 868.50, 1,197.81 and 633.29 is: 873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.50 : 1,197.81 = 633.29 : x
  2. Step 2: Convert to fraction form
    868.50/1,197.81 = 633.29/x
  3. Step 3: Cross multiply
    868.50x = 1,197.81 × 633.29
  4. Step 4: Simplify right side
    868.50x = 758,555.11
  5. Step 5: Solve for x
    x = 758,555.11/868.50
  6. Step 6: Final answer
    x = 873.41

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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.