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Finding the Fourth Proportional to 779.09, 1,168.85 and 408.92

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Solution

The fourth proportional to 779.09, 1,168.85 and 408.92 is: 613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.09 : 1,168.85 = 408.92 : x
  2. Step 2: Convert to fraction form
    779.09/1,168.85 = 408.92/x
  3. Step 3: Cross multiply
    779.09x = 1,168.85 × 408.92
  4. Step 4: Simplify right side
    779.09x = 477,966.14
  5. Step 5: Solve for x
    x = 477,966.14/779.09
  6. Step 6: Final answer
    x = 613.49

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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.