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Finding the Fourth Proportional to 609.61, 914.37 and 394.54

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Solution

The fourth proportional to 609.61, 914.37 and 394.54 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.61 : 914.37 = 394.54 : x
  2. Step 2: Convert to fraction form
    609.61/914.37 = 394.54/x
  3. Step 3: Cross multiply
    609.61x = 914.37 × 394.54
  4. Step 4: Simplify right side
    609.61x = 360,755.54
  5. Step 5: Solve for x
    x = 360,755.54/609.61
  6. Step 6: Final answer
    x = 591.78

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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.