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Finding the Fourth Proportional to 1,096.22, 1,645.38 and 686.18

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Solution

The fourth proportional to 1,096.22, 1,645.38 and 686.18 is: 1,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.22 : 1,645.38 = 686.18 : x
  2. Step 2: Convert to fraction form
    1,096.22/1,645.38 = 686.18/x
  3. Step 3: Cross multiply
    1,096.22x = 1,645.38 × 686.18
  4. Step 4: Simplify right side
    1,096.22x = 1,129,026.85
  5. Step 5: Solve for x
    x = 1,129,026.85/1,096.22
  6. Step 6: Final answer
    x = 1,029.93

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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.