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Finding the Fourth Proportional to 1,091.12, 1,636.71 and 311.19

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Solution

The fourth proportional to 1,091.12, 1,636.71 and 311.19 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.12 : 1,636.71 = 311.19 : x
  2. Step 2: Convert to fraction form
    1,091.12/1,636.71 = 311.19/x
  3. Step 3: Cross multiply
    1,091.12x = 1,636.71 × 311.19
  4. Step 4: Simplify right side
    1,091.12x = 509,329.69
  5. Step 5: Solve for x
    x = 509,329.69/1,091.12
  6. Step 6: Final answer
    x = 466.80

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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.