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Finding the Fourth Proportional to 829.29, 1,243.71 and 244.29

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Solution

The fourth proportional to 829.29, 1,243.71 and 244.29 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.29 : 1,243.71 = 244.29 : x
  2. Step 2: Convert to fraction form
    829.29/1,243.71 = 244.29/x
  3. Step 3: Cross multiply
    829.29x = 1,243.71 × 244.29
  4. Step 4: Simplify right side
    829.29x = 303,825.92
  5. Step 5: Solve for x
    x = 303,825.92/829.29
  6. Step 6: Final answer
    x = 366.37

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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.