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Finding the Fourth Proportional to 827.76, 1,241.19 and 340.26

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Solution

The fourth proportional to 827.76, 1,241.19 and 340.26 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.76 : 1,241.19 = 340.26 : x
  2. Step 2: Convert to fraction form
    827.76/1,241.19 = 340.26/x
  3. Step 3: Cross multiply
    827.76x = 1,241.19 × 340.26
  4. Step 4: Simplify right side
    827.76x = 422,327.31
  5. Step 5: Solve for x
    x = 422,327.31/827.76
  6. Step 6: Final answer
    x = 510.21

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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.