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Finding the Fourth Proportional to 959.62, 1,439.78 and 404.47

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Solution

The fourth proportional to 959.62, 1,439.78 and 404.47 is: 606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.62 : 1,439.78 = 404.47 : x
  2. Step 2: Convert to fraction form
    959.62/1,439.78 = 404.47/x
  3. Step 3: Cross multiply
    959.62x = 1,439.78 × 404.47
  4. Step 4: Simplify right side
    959.62x = 582,340.27
  5. Step 5: Solve for x
    x = 582,340.27/959.62
  6. Step 6: Final answer
    x = 606.85

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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.