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Finding the Fourth Proportional to 961.28, 1,324.32 and 785.60

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Solution

The fourth proportional to 961.28, 1,324.32 and 785.60 is: 1,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.28 : 1,324.32 = 785.60 : x
  2. Step 2: Convert to fraction form
    961.28/1,324.32 = 785.60/x
  3. Step 3: Cross multiply
    961.28x = 1,324.32 × 785.60
  4. Step 4: Simplify right side
    961.28x = 1,040,385.79
  5. Step 5: Solve for x
    x = 1,040,385.79/961.28
  6. Step 6: Final answer
    x = 1,082.29

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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.