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Finding the Fourth Proportional to 827.72, 1,241.22 and 340.50

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Solution

The fourth proportional to 827.72, 1,241.22 and 340.50 is: 510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,241.22 = 340.50 : x
  2. Step 2: Convert to fraction form
    827.72/1,241.22 = 340.50/x
  3. Step 3: Cross multiply
    827.72x = 1,241.22 × 340.50
  4. Step 4: Simplify right side
    827.72x = 422,641.34
  5. Step 5: Solve for x
    x = 422,641.34/827.72
  6. Step 6: Final answer
    x = 510.61

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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.