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Finding the Fourth Proportional to 1,216.82, 1,676.50 and 843.28

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Solution

The fourth proportional to 1,216.82, 1,676.50 and 843.28 is: 1,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.82 : 1,676.50 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,216.82/1,676.50 = 843.28/x
  3. Step 3: Cross multiply
    1,216.82x = 1,676.50 × 843.28
  4. Step 4: Simplify right side
    1,216.82x = 1,413,752.62
  5. Step 5: Solve for x
    x = 1,413,752.62/1,216.82
  6. Step 6: Final answer
    x = 1,161.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.