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Finding the Fourth Proportional to 609.66, 913.41 and 378.21

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Solution

The fourth proportional to 609.66, 913.41 and 378.21 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 913.41 = 378.21 : x
  2. Step 2: Convert to fraction form
    609.66/913.41 = 378.21/x
  3. Step 3: Cross multiply
    609.66x = 913.41 × 378.21
  4. Step 4: Simplify right side
    609.66x = 345,460.80
  5. Step 5: Solve for x
    x = 345,460.80/609.66
  6. Step 6: Final answer
    x = 566.65

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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.