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Finding the Fourth Proportional to 825.05, 1,238.21 and 305.54

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Solution

The fourth proportional to 825.05, 1,238.21 and 305.54 is: 458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.05 : 1,238.21 = 305.54 : x
  2. Step 2: Convert to fraction form
    825.05/1,238.21 = 305.54/x
  3. Step 3: Cross multiply
    825.05x = 1,238.21 × 305.54
  4. Step 4: Simplify right side
    825.05x = 378,324.25
  5. Step 5: Solve for x
    x = 378,324.25/825.05
  6. Step 6: Final answer
    x = 458.55

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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.