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Finding the Fourth Proportional to 825.78, 1,238.68 and 277.92

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Solution

The fourth proportional to 825.78, 1,238.68 and 277.92 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.78 : 1,238.68 = 277.92 : x
  2. Step 2: Convert to fraction form
    825.78/1,238.68 = 277.92/x
  3. Step 3: Cross multiply
    825.78x = 1,238.68 × 277.92
  4. Step 4: Simplify right side
    825.78x = 344,253.95
  5. Step 5: Solve for x
    x = 344,253.95/825.78
  6. Step 6: Final answer
    x = 416.88

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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.