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Finding the Fourth Proportional to 1,189.53, 1,641.22 and 769.91

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Solution

The fourth proportional to 1,189.53, 1,641.22 and 769.91 is: 1,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.53 : 1,641.22 = 769.91 : x
  2. Step 2: Convert to fraction form
    1,189.53/1,641.22 = 769.91/x
  3. Step 3: Cross multiply
    1,189.53x = 1,641.22 × 769.91
  4. Step 4: Simplify right side
    1,189.53x = 1,263,581.56
  5. Step 5: Solve for x
    x = 1,263,581.56/1,189.53
  6. Step 6: Final answer
    x = 1,062.25

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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.