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Finding the Fourth Proportional to 827.90, 1,241.39 and 395.06

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Solution

The fourth proportional to 827.90, 1,241.39 and 395.06 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,241.39 = 395.06 : x
  2. Step 2: Convert to fraction form
    827.90/1,241.39 = 395.06/x
  3. Step 3: Cross multiply
    827.90x = 1,241.39 × 395.06
  4. Step 4: Simplify right side
    827.90x = 490,423.53
  5. Step 5: Solve for x
    x = 490,423.53/827.90
  6. Step 6: Final answer
    x = 592.37

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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.