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Finding the Fourth Proportional to 609.40, 913.26 and 416.44

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Solution

The fourth proportional to 609.40, 913.26 and 416.44 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 913.26 = 416.44 : x
  2. Step 2: Convert to fraction form
    609.40/913.26 = 416.44/x
  3. Step 3: Cross multiply
    609.40x = 913.26 × 416.44
  4. Step 4: Simplify right side
    609.40x = 380,317.99
  5. Step 5: Solve for x
    x = 380,317.99/609.40
  6. Step 6: Final answer
    x = 624.09

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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.