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Finding the Fourth Proportional to 825.31, 1,238.01 and 277.66

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Solution

The fourth proportional to 825.31, 1,238.01 and 277.66 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.31 : 1,238.01 = 277.66 : x
  2. Step 2: Convert to fraction form
    825.31/1,238.01 = 277.66/x
  3. Step 3: Cross multiply
    825.31x = 1,238.01 × 277.66
  4. Step 4: Simplify right side
    825.31x = 343,745.86
  5. Step 5: Solve for x
    x = 343,745.86/825.31
  6. Step 6: Final answer
    x = 416.51

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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.