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Finding the Fourth Proportional to 609.20, 914.24 and 447.30

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Solution

The fourth proportional to 609.20, 914.24 and 447.30 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.20 : 914.24 = 447.30 : x
  2. Step 2: Convert to fraction form
    609.20/914.24 = 447.30/x
  3. Step 3: Cross multiply
    609.20x = 914.24 × 447.30
  4. Step 4: Simplify right side
    609.20x = 408,937.32
  5. Step 5: Solve for x
    x = 408,937.32/609.20
  6. Step 6: Final answer
    x = 671.27

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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.