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Finding the Fourth Proportional to 778.76, 1,168.32 and 230.96

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Solution

The fourth proportional to 778.76, 1,168.32 and 230.96 is: 346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,168.32 = 230.96 : x
  2. Step 2: Convert to fraction form
    778.76/1,168.32 = 230.96/x
  3. Step 3: Cross multiply
    778.76x = 1,168.32 × 230.96
  4. Step 4: Simplify right side
    778.76x = 269,835.19
  5. Step 5: Solve for x
    x = 269,835.19/778.76
  6. Step 6: Final answer
    x = 346.49

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1.5x scale

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.