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Finding the Fourth Proportional to 778.78, 1,168.42 and 316.30

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Solution

The fourth proportional to 778.78, 1,168.42 and 316.30 is: 474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.78 : 1,168.42 = 316.30 : x
  2. Step 2: Convert to fraction form
    778.78/1,168.42 = 316.30/x
  3. Step 3: Cross multiply
    778.78x = 1,168.42 × 316.30
  4. Step 4: Simplify right side
    778.78x = 369,571.25
  5. Step 5: Solve for x
    x = 369,571.25/778.78
  6. Step 6: Final answer
    x = 474.55

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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.