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Finding the Fourth Proportional to 827.78, 1,241.77 and 717.22

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Solution

The fourth proportional to 827.78, 1,241.77 and 717.22 is: 1,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.78 : 1,241.77 = 717.22 : x
  2. Step 2: Convert to fraction form
    827.78/1,241.77 = 717.22/x
  3. Step 3: Cross multiply
    827.78x = 1,241.77 × 717.22
  4. Step 4: Simplify right side
    827.78x = 890,616.07
  5. Step 5: Solve for x
    x = 890,616.07/827.78
  6. Step 6: Final answer
    x = 1,075.91

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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.