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Finding the Fourth Proportional to 786.09, 1,171.43 and 759.97

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Solution

The fourth proportional to 786.09, 1,171.43 and 759.97 is: 1,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.09 : 1,171.43 = 759.97 : x
  2. Step 2: Convert to fraction form
    786.09/1,171.43 = 759.97/x
  3. Step 3: Cross multiply
    786.09x = 1,171.43 × 759.97
  4. Step 4: Simplify right side
    786.09x = 890,251.66
  5. Step 5: Solve for x
    x = 890,251.66/786.09
  6. Step 6: Final answer
    x = 1,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.