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Finding the Fourth Proportional to 960, 1,324.82 and 611.16

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Solution

The fourth proportional to 960, 1,324.82 and 611.16 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,324.82 = 611.16 : x
  2. Step 2: Convert to fraction form
    960/1,324.82 = 611.16/x
  3. Step 3: Cross multiply
    960x = 1,324.82 × 611.16
  4. Step 4: Simplify right side
    960x = 809,673.94
  5. Step 5: Solve for x
    x = 809,673.94/960
  6. Step 6: Final answer
    x = 843.41

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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.