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Finding the Fourth Proportional to 1,242.25, 1,711.49 and 961.52

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Solution

The fourth proportional to 1,242.25, 1,711.49 and 961.52 is: 1,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.25 : 1,711.49 = 961.52 : x
  2. Step 2: Convert to fraction form
    1,242.25/1,711.49 = 961.52/x
  3. Step 3: Cross multiply
    1,242.25x = 1,711.49 × 961.52
  4. Step 4: Simplify right side
    1,242.25x = 1,645,618.50
  5. Step 5: Solve for x
    x = 1,645,618.50/1,242.25
  6. Step 6: Final answer
    x = 1,324.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.