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Finding the Fourth Proportional to 796.80, 1,194.79 and 276.78

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Solution

The fourth proportional to 796.80, 1,194.79 and 276.78 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,194.79 = 276.78 : x
  2. Step 2: Convert to fraction form
    796.80/1,194.79 = 276.78/x
  3. Step 3: Cross multiply
    796.80x = 1,194.79 × 276.78
  4. Step 4: Simplify right side
    796.80x = 330,693.98
  5. Step 5: Solve for x
    x = 330,693.98/796.80
  6. Step 6: Final answer
    x = 415.03

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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.