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Finding the Fourth Proportional to 1,180.28, 1,767.96 and 691.84

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Solution

The fourth proportional to 1,180.28, 1,767.96 and 691.84 is: 1,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.28 : 1,767.96 = 691.84 : x
  2. Step 2: Convert to fraction form
    1,180.28/1,767.96 = 691.84/x
  3. Step 3: Cross multiply
    1,180.28x = 1,767.96 × 691.84
  4. Step 4: Simplify right side
    1,180.28x = 1,223,145.45
  5. Step 5: Solve for x
    x = 1,223,145.45/1,180.28
  6. Step 6: Final answer
    x = 1,036.32

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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.