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Finding the Fourth Proportional to 867.62, 1,198.52 and 774.33

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Solution

The fourth proportional to 867.62, 1,198.52 and 774.33 is: 1,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.62 : 1,198.52 = 774.33 : x
  2. Step 2: Convert to fraction form
    867.62/1,198.52 = 774.33/x
  3. Step 3: Cross multiply
    867.62x = 1,198.52 × 774.33
  4. Step 4: Simplify right side
    867.62x = 928,046.12
  5. Step 5: Solve for x
    x = 928,046.12/867.62
  6. Step 6: Final answer
    x = 1,069.65

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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.