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Finding the Fourth Proportional to 936.24, 1,401.10 and 769.71

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Solution

The fourth proportional to 936.24, 1,401.10 and 769.71 is: 1,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.24 : 1,401.10 = 769.71 : x
  2. Step 2: Convert to fraction form
    936.24/1,401.10 = 769.71/x
  3. Step 3: Cross multiply
    936.24x = 1,401.10 × 769.71
  4. Step 4: Simplify right side
    936.24x = 1,078,440.68
  5. Step 5: Solve for x
    x = 1,078,440.68/936.24
  6. Step 6: Final answer
    x = 1,151.88

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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.