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Finding the Fourth Proportional to 1,169.11, 1,613.28 and 696.97

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Solution

The fourth proportional to 1,169.11, 1,613.28 and 696.97 is: 961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.11 : 1,613.28 = 696.97 : x
  2. Step 2: Convert to fraction form
    1,169.11/1,613.28 = 696.97/x
  3. Step 3: Cross multiply
    1,169.11x = 1,613.28 × 696.97
  4. Step 4: Simplify right side
    1,169.11x = 1,124,407.76
  5. Step 5: Solve for x
    x = 1,124,407.76/1,169.11
  6. Step 6: Final answer
    x = 961.76

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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.