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Finding the Fourth Proportional to 1,216.25, 1,677.66 and 843.24

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Solution

The fourth proportional to 1,216.25, 1,677.66 and 843.24 is: 1,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.25 : 1,677.66 = 843.24 : x
  2. Step 2: Convert to fraction form
    1,216.25/1,677.66 = 843.24/x
  3. Step 3: Cross multiply
    1,216.25x = 1,677.66 × 843.24
  4. Step 4: Simplify right side
    1,216.25x = 1,414,670.02
  5. Step 5: Solve for x
    x = 1,414,670.02/1,216.25
  6. Step 6: Final answer
    x = 1,163.15

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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.