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Finding the Fourth Proportional to 959.62, 1,439.12 and 411.24

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Solution

The fourth proportional to 959.62, 1,439.12 and 411.24 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.62 : 1,439.12 = 411.24 : x
  2. Step 2: Convert to fraction form
    959.62/1,439.12 = 411.24/x
  3. Step 3: Cross multiply
    959.62x = 1,439.12 × 411.24
  4. Step 4: Simplify right side
    959.62x = 591,823.71
  5. Step 5: Solve for x
    x = 591,823.71/959.62
  6. Step 6: Final answer
    x = 616.73

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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.