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Finding the Fourth Proportional to 960.29, 1,439.22 and 411.83

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Solution

The fourth proportional to 960.29, 1,439.22 and 411.83 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.29 : 1,439.22 = 411.83 : x
  2. Step 2: Convert to fraction form
    960.29/1,439.22 = 411.83/x
  3. Step 3: Cross multiply
    960.29x = 1,439.22 × 411.83
  4. Step 4: Simplify right side
    960.29x = 592,711.91
  5. Step 5: Solve for x
    x = 592,711.91/960.29
  6. Step 6: Final answer
    x = 617.22

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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.