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Finding the Fourth Proportional to 778.14, 1,166.97 and 412.72

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Solution

The fourth proportional to 778.14, 1,166.97 and 412.72 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,166.97 = 412.72 : x
  2. Step 2: Convert to fraction form
    778.14/1,166.97 = 412.72/x
  3. Step 3: Cross multiply
    778.14x = 1,166.97 × 412.72
  4. Step 4: Simplify right side
    778.14x = 481,631.86
  5. Step 5: Solve for x
    x = 481,631.86/778.14
  6. Step 6: Final answer
    x = 618.95

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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.