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Finding the Fourth Proportional to 827.69, 1,240.79 and 340.43

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Solution

The fourth proportional to 827.69, 1,240.79 and 340.43 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,240.79 = 340.43 : x
  2. Step 2: Convert to fraction form
    827.69/1,240.79 = 340.43/x
  3. Step 3: Cross multiply
    827.69x = 1,240.79 × 340.43
  4. Step 4: Simplify right side
    827.69x = 422,394.23
  5. Step 5: Solve for x
    x = 422,394.23/827.69
  6. Step 6: Final answer
    x = 510.33

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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.