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Finding the Fourth Proportional to 1,169.91, 1,613.02 and 749.57

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Solution

The fourth proportional to 1,169.91, 1,613.02 and 749.57 is: 1,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.91 : 1,613.02 = 749.57 : x
  2. Step 2: Convert to fraction form
    1,169.91/1,613.02 = 749.57/x
  3. Step 3: Cross multiply
    1,169.91x = 1,613.02 × 749.57
  4. Step 4: Simplify right side
    1,169.91x = 1,209,074.97
  5. Step 5: Solve for x
    x = 1,209,074.97/1,169.91
  6. Step 6: Final answer
    x = 1,033.48

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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.