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Finding the Fourth Proportional to 829.25, 1,243.06 and 342.71

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Solution

The fourth proportional to 829.25, 1,243.06 and 342.71 is: 513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.25 : 1,243.06 = 342.71 : x
  2. Step 2: Convert to fraction form
    829.25/1,243.06 = 342.71/x
  3. Step 3: Cross multiply
    829.25x = 1,243.06 × 342.71
  4. Step 4: Simplify right side
    829.25x = 426,009.09
  5. Step 5: Solve for x
    x = 426,009.09/829.25
  6. Step 6: Final answer
    x = 513.73

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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.