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Finding the Fourth Proportional to 960.92, 1,441.34 and 311.70

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Solution

The fourth proportional to 960.92, 1,441.34 and 311.70 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.92 : 1,441.34 = 311.70 : x
  2. Step 2: Convert to fraction form
    960.92/1,441.34 = 311.70/x
  3. Step 3: Cross multiply
    960.92x = 1,441.34 × 311.70
  4. Step 4: Simplify right side
    960.92x = 449,265.68
  5. Step 5: Solve for x
    x = 449,265.68/960.92
  6. Step 6: Final answer
    x = 467.54

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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.