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Finding the Fourth Proportional to 961.28, 1,441.76 and 344.86

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Solution

The fourth proportional to 961.28, 1,441.76 and 344.86 is: 517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.28 : 1,441.76 = 344.86 : x
  2. Step 2: Convert to fraction form
    961.28/1,441.76 = 344.86/x
  3. Step 3: Cross multiply
    961.28x = 1,441.76 × 344.86
  4. Step 4: Simplify right side
    961.28x = 497,205.35
  5. Step 5: Solve for x
    x = 497,205.35/961.28
  6. Step 6: Final answer
    x = 517.23

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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.