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Finding the Fourth Proportional to 1,091.17, 1,636.83 and 311.17

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Solution

The fourth proportional to 1,091.17, 1,636.83 and 311.17 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.17 : 1,636.83 = 311.17 : x
  2. Step 2: Convert to fraction form
    1,091.17/1,636.83 = 311.17/x
  3. Step 3: Cross multiply
    1,091.17x = 1,636.83 × 311.17
  4. Step 4: Simplify right side
    1,091.17x = 509,332.39
  5. Step 5: Solve for x
    x = 509,332.39/1,091.17
  6. Step 6: Final answer
    x = 466.78

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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.