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Finding the Fourth Proportional to 950.13, 1,423.32 and 743.73

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Solution

The fourth proportional to 950.13, 1,423.32 and 743.73 is: 1,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.13 : 1,423.32 = 743.73 : x
  2. Step 2: Convert to fraction form
    950.13/1,423.32 = 743.73/x
  3. Step 3: Cross multiply
    950.13x = 1,423.32 × 743.73
  4. Step 4: Simplify right side
    950.13x = 1,058,569.85
  5. Step 5: Solve for x
    x = 1,058,569.85/950.13
  6. Step 6: Final answer
    x = 1,114.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.