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Finding the Fourth Proportional to 778.68, 1,168.02 and 231.27

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Solution

The fourth proportional to 778.68, 1,168.02 and 231.27 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,168.02 = 231.27 : x
  2. Step 2: Convert to fraction form
    778.68/1,168.02 = 231.27/x
  3. Step 3: Cross multiply
    778.68x = 1,168.02 × 231.27
  4. Step 4: Simplify right side
    778.68x = 270,130.18
  5. Step 5: Solve for x
    x = 270,130.18/778.68
  6. Step 6: Final answer
    x = 346.91

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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.