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Finding the Fourth Proportional to 778.30, 1,167.07 and 277.80

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Solution

The fourth proportional to 778.30, 1,167.07 and 277.80 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.30 : 1,167.07 = 277.80 : x
  2. Step 2: Convert to fraction form
    778.30/1,167.07 = 277.80/x
  3. Step 3: Cross multiply
    778.30x = 1,167.07 × 277.80
  4. Step 4: Simplify right side
    778.30x = 324,211.35
  5. Step 5: Solve for x
    x = 324,211.35/778.30
  6. Step 6: Final answer
    x = 416.56

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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.