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Finding the Fourth Proportional to 779.10, 1,167.92 and 408.82

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Solution

The fourth proportional to 779.10, 1,167.92 and 408.82 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,167.92 = 408.82 : x
  2. Step 2: Convert to fraction form
    779.10/1,167.92 = 408.82/x
  3. Step 3: Cross multiply
    779.10x = 1,167.92 × 408.82
  4. Step 4: Simplify right side
    779.10x = 477,473.43
  5. Step 5: Solve for x
    x = 477,473.43/779.10
  6. Step 6: Final answer
    x = 612.86

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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.