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Finding the Fourth Proportional to 868.65, 1,199.57 and 743.56

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Solution

The fourth proportional to 868.65, 1,199.57 and 743.56 is: 1,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.65 : 1,199.57 = 743.56 : x
  2. Step 2: Convert to fraction form
    868.65/1,199.57 = 743.56/x
  3. Step 3: Cross multiply
    868.65x = 1,199.57 × 743.56
  4. Step 4: Simplify right side
    868.65x = 891,952.27
  5. Step 5: Solve for x
    x = 891,952.27/868.65
  6. Step 6: Final answer
    x = 1,026.83

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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.