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Finding the Fourth Proportional to 778.11, 1,166.82 and 412.82

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Solution

The fourth proportional to 778.11, 1,166.82 and 412.82 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.11 : 1,166.82 = 412.82 : x
  2. Step 2: Convert to fraction form
    778.11/1,166.82 = 412.82/x
  3. Step 3: Cross multiply
    778.11x = 1,166.82 × 412.82
  4. Step 4: Simplify right side
    778.11x = 481,680.80
  5. Step 5: Solve for x
    x = 481,680.80/778.11
  6. Step 6: Final answer
    x = 619.04

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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.