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Finding the Fourth Proportional to 1,222.82, 1,686.39 and 1,093.22

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Solution

The fourth proportional to 1,222.82, 1,686.39 and 1,093.22 is: 1,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.82 : 1,686.39 = 1,093.22 : x
  2. Step 2: Convert to fraction form
    1,222.82/1,686.39 = 1,093.22/x
  3. Step 3: Cross multiply
    1,222.82x = 1,686.39 × 1,093.22
  4. Step 4: Simplify right side
    1,222.82x = 1,843,595.28
  5. Step 5: Solve for x
    x = 1,843,595.28/1,222.82
  6. Step 6: Final answer
    x = 1,507.66

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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.