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Finding the Fourth Proportional to 1,180.84, 1,767.66 and 769.09

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Solution

The fourth proportional to 1,180.84, 1,767.66 and 769.09 is: 1,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.84 : 1,767.66 = 769.09 : x
  2. Step 2: Convert to fraction form
    1,180.84/1,767.66 = 769.09/x
  3. Step 3: Cross multiply
    1,180.84x = 1,767.66 × 769.09
  4. Step 4: Simplify right side
    1,180.84x = 1,359,489.63
  5. Step 5: Solve for x
    x = 1,359,489.63/1,180.84
  6. Step 6: Final answer
    x = 1,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.