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Finding the Fourth Proportional to 961.14, 1,440.33 and 473.64

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Solution

The fourth proportional to 961.14, 1,440.33 and 473.64 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.14 : 1,440.33 = 473.64 : x
  2. Step 2: Convert to fraction form
    961.14/1,440.33 = 473.64/x
  3. Step 3: Cross multiply
    961.14x = 1,440.33 × 473.64
  4. Step 4: Simplify right side
    961.14x = 682,197.90
  5. Step 5: Solve for x
    x = 682,197.90/961.14
  6. Step 6: Final answer
    x = 709.78

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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.