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Finding the Fourth Proportional to 609.05, 911.55 and 411.14

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Solution

The fourth proportional to 609.05, 911.55 and 411.14 is: 615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.05 : 911.55 = 411.14 : x
  2. Step 2: Convert to fraction form
    609.05/911.55 = 411.14/x
  3. Step 3: Cross multiply
    609.05x = 911.55 × 411.14
  4. Step 4: Simplify right side
    609.05x = 374,770.11
  5. Step 5: Solve for x
    x = 374,770.11/609.05
  6. Step 6: Final answer
    x = 615.34

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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.