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Finding the Fourth Proportional to 829.85, 1,244.42 and 252.59

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Solution

The fourth proportional to 829.85, 1,244.42 and 252.59 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,244.42 = 252.59 : x
  2. Step 2: Convert to fraction form
    829.85/1,244.42 = 252.59/x
  3. Step 3: Cross multiply
    829.85x = 1,244.42 × 252.59
  4. Step 4: Simplify right side
    829.85x = 314,326.78
  5. Step 5: Solve for x
    x = 314,326.78/829.85
  6. Step 6: Final answer
    x = 378.78

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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.