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Finding the Fourth Proportional to 960.57, 1,439.78 and 440.21

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Solution

The fourth proportional to 960.57, 1,439.78 and 440.21 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.57 : 1,439.78 = 440.21 : x
  2. Step 2: Convert to fraction form
    960.57/1,439.78 = 440.21/x
  3. Step 3: Cross multiply
    960.57x = 1,439.78 × 440.21
  4. Step 4: Simplify right side
    960.57x = 633,806.95
  5. Step 5: Solve for x
    x = 633,806.95/960.57
  6. Step 6: Final answer
    x = 659.82

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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.