Home / 1,091.14-1,636.38-311.09

Finding the Fourth Proportional to 1,091.14, 1,636.38 and 311.09

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Solution

The fourth proportional to 1,091.14, 1,636.38 and 311.09 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.14 : 1,636.38 = 311.09 : x
  2. Step 2: Convert to fraction form
    1,091.14/1,636.38 = 311.09/x
  3. Step 3: Cross multiply
    1,091.14x = 1,636.38 × 311.09
  4. Step 4: Simplify right side
    1,091.14x = 509,053.27
  5. Step 5: Solve for x
    x = 509,053.27/1,091.14
  6. Step 6: Final answer
    x = 466.53

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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.