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Finding the Fourth Proportional to 609.01, 913.03 and 414.08

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Solution

The fourth proportional to 609.01, 913.03 and 414.08 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.01 : 913.03 = 414.08 : x
  2. Step 2: Convert to fraction form
    609.01/913.03 = 414.08/x
  3. Step 3: Cross multiply
    609.01x = 913.03 × 414.08
  4. Step 4: Simplify right side
    609.01x = 378,063.30
  5. Step 5: Solve for x
    x = 378,063.30/609.01
  6. Step 6: Final answer
    x = 620.78

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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.