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Finding the Fourth Proportional to 1,091.19, 1,636.78 and 311.26

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Solution

The fourth proportional to 1,091.19, 1,636.78 and 311.26 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.19 : 1,636.78 = 311.26 : x
  2. Step 2: Convert to fraction form
    1,091.19/1,636.78 = 311.26/x
  3. Step 3: Cross multiply
    1,091.19x = 1,636.78 × 311.26
  4. Step 4: Simplify right side
    1,091.19x = 509,464.14
  5. Step 5: Solve for x
    x = 509,464.14/1,091.19
  6. Step 6: Final answer
    x = 466.89

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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.