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Finding the Fourth Proportional to 778.74, 1,168.29 and 230.91

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Solution

The fourth proportional to 778.74, 1,168.29 and 230.91 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.74 : 1,168.29 = 230.91 : x
  2. Step 2: Convert to fraction form
    778.74/1,168.29 = 230.91/x
  3. Step 3: Cross multiply
    778.74x = 1,168.29 × 230.91
  4. Step 4: Simplify right side
    778.74x = 269,769.84
  5. Step 5: Solve for x
    x = 269,769.84/778.74
  6. Step 6: Final answer
    x = 346.42

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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.