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Finding the Fourth Proportional to 960.70, 1,439.94 and 851.24

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Solution

The fourth proportional to 960.70, 1,439.94 and 851.24 is: 1,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.70 : 1,439.94 = 851.24 : x
  2. Step 2: Convert to fraction form
    960.70/1,439.94 = 851.24/x
  3. Step 3: Cross multiply
    960.70x = 1,439.94 × 851.24
  4. Step 4: Simplify right side
    960.70x = 1,225,734.53
  5. Step 5: Solve for x
    x = 1,225,734.53/960.70
  6. Step 6: Final answer
    x = 1,275.88

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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.