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Finding the Fourth Proportional to 829.09, 1,243.66 and 281.31

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Solution

The fourth proportional to 829.09, 1,243.66 and 281.31 is: 421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.09 : 1,243.66 = 281.31 : x
  2. Step 2: Convert to fraction form
    829.09/1,243.66 = 281.31/x
  3. Step 3: Cross multiply
    829.09x = 1,243.66 × 281.31
  4. Step 4: Simplify right side
    829.09x = 349,853.99
  5. Step 5: Solve for x
    x = 349,853.99/829.09
  6. Step 6: Final answer
    x = 421.97

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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.