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Finding the Fourth Proportional to 825.44, 1,237.07 and 338.22

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Solution

The fourth proportional to 825.44, 1,237.07 and 338.22 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,237.07 = 338.22 : x
  2. Step 2: Convert to fraction form
    825.44/1,237.07 = 338.22/x
  3. Step 3: Cross multiply
    825.44x = 1,237.07 × 338.22
  4. Step 4: Simplify right side
    825.44x = 418,402.66
  5. Step 5: Solve for x
    x = 418,402.66/825.44
  6. Step 6: Final answer
    x = 506.89

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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.