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Finding the Fourth Proportional to 778.17, 1,167.17 and 201.09

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Solution

The fourth proportional to 778.17, 1,167.17 and 201.09 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.17 : 1,167.17 = 201.09 : x
  2. Step 2: Convert to fraction form
    778.17/1,167.17 = 201.09/x
  3. Step 3: Cross multiply
    778.17x = 1,167.17 × 201.09
  4. Step 4: Simplify right side
    778.17x = 234,705.21
  5. Step 5: Solve for x
    x = 234,705.21/778.17
  6. Step 6: Final answer
    x = 301.61

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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.