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Finding the Fourth Proportional to 827.40, 1,241.09 and 334.03

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Solution

The fourth proportional to 827.40, 1,241.09 and 334.03 is: 501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,241.09 = 334.03 : x
  2. Step 2: Convert to fraction form
    827.40/1,241.09 = 334.03/x
  3. Step 3: Cross multiply
    827.40x = 1,241.09 × 334.03
  4. Step 4: Simplify right side
    827.40x = 414,561.29
  5. Step 5: Solve for x
    x = 414,561.29/827.40
  6. Step 6: Final answer
    x = 501.04

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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.