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Finding the Fourth Proportional to 825.28, 1,238.31 and 414.46

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Solution

The fourth proportional to 825.28, 1,238.31 and 414.46 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.28 : 1,238.31 = 414.46 : x
  2. Step 2: Convert to fraction form
    825.28/1,238.31 = 414.46/x
  3. Step 3: Cross multiply
    825.28x = 1,238.31 × 414.46
  4. Step 4: Simplify right side
    825.28x = 513,229.96
  5. Step 5: Solve for x
    x = 513,229.96/825.28
  6. Step 6: Final answer
    x = 621.89

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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.