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Finding the Fourth Proportional to 920.42, 1,269.78 and 743.62

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Solution

The fourth proportional to 920.42, 1,269.78 and 743.62 is: 1,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.42 : 1,269.78 = 743.62 : x
  2. Step 2: Convert to fraction form
    920.42/1,269.78 = 743.62/x
  3. Step 3: Cross multiply
    920.42x = 1,269.78 × 743.62
  4. Step 4: Simplify right side
    920.42x = 944,233.80
  5. Step 5: Solve for x
    x = 944,233.80/920.42
  6. Step 6: Final answer
    x = 1,025.87

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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.