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Finding the Fourth Proportional to 1,169.11, 1,613.01 and 949.51

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Solution

The fourth proportional to 1,169.11, 1,613.01 and 949.51 is: 1,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.11 : 1,613.01 = 949.51 : x
  2. Step 2: Convert to fraction form
    1,169.11/1,613.01 = 949.51/x
  3. Step 3: Cross multiply
    1,169.11x = 1,613.01 × 949.51
  4. Step 4: Simplify right side
    1,169.11x = 1,531,569.13
  5. Step 5: Solve for x
    x = 1,531,569.13/1,169.11
  6. Step 6: Final answer
    x = 1,310.03

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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.