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Finding the Fourth Proportional to 779.78, 1,169.86 and 231.94

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Solution

The fourth proportional to 779.78, 1,169.86 and 231.94 is: 347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,169.86 = 231.94 : x
  2. Step 2: Convert to fraction form
    779.78/1,169.86 = 231.94/x
  3. Step 3: Cross multiply
    779.78x = 1,169.86 × 231.94
  4. Step 4: Simplify right side
    779.78x = 271,337.33
  5. Step 5: Solve for x
    x = 271,337.33/779.78
  6. Step 6: Final answer
    x = 347.97

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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.