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Finding the Fourth Proportional to 778.97, 1,168.66 and 259.05

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Solution

The fourth proportional to 778.97, 1,168.66 and 259.05 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,168.66 = 259.05 : x
  2. Step 2: Convert to fraction form
    778.97/1,168.66 = 259.05/x
  3. Step 3: Cross multiply
    778.97x = 1,168.66 × 259.05
  4. Step 4: Simplify right side
    778.97x = 302,740.73
  5. Step 5: Solve for x
    x = 302,740.73/778.97
  6. Step 6: Final answer
    x = 388.64

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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.