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Finding the Fourth Proportional to 825.78, 1,238.39 and 277.83

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Solution

The fourth proportional to 825.78, 1,238.39 and 277.83 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.78 : 1,238.39 = 277.83 : x
  2. Step 2: Convert to fraction form
    825.78/1,238.39 = 277.83/x
  3. Step 3: Cross multiply
    825.78x = 1,238.39 × 277.83
  4. Step 4: Simplify right side
    825.78x = 344,060.50
  5. Step 5: Solve for x
    x = 344,060.50/825.78
  6. Step 6: Final answer
    x = 416.65

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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.