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Finding the Fourth Proportional to 960.30, 1,439.58 and 440.04

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Solution

The fourth proportional to 960.30, 1,439.58 and 440.04 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,439.58 = 440.04 : x
  2. Step 2: Convert to fraction form
    960.30/1,439.58 = 440.04/x
  3. Step 3: Cross multiply
    960.30x = 1,439.58 × 440.04
  4. Step 4: Simplify right side
    960.30x = 633,472.78
  5. Step 5: Solve for x
    x = 633,472.78/960.30
  6. Step 6: Final answer
    x = 659.66

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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.