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Finding the Fourth Proportional to 827.74, 1,241.53 and 211.43

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Solution

The fourth proportional to 827.74, 1,241.53 and 211.43 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.74 : 1,241.53 = 211.43 : x
  2. Step 2: Convert to fraction form
    827.74/1,241.53 = 211.43/x
  3. Step 3: Cross multiply
    827.74x = 1,241.53 × 211.43
  4. Step 4: Simplify right side
    827.74x = 262,492.28
  5. Step 5: Solve for x
    x = 262,492.28/827.74
  6. Step 6: Final answer
    x = 317.12

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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.