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Finding the Fourth Proportional to 609.38, 912.74 and 378.32

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Solution

The fourth proportional to 609.38, 912.74 and 378.32 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 912.74 = 378.32 : x
  2. Step 2: Convert to fraction form
    609.38/912.74 = 378.32/x
  3. Step 3: Cross multiply
    609.38x = 912.74 × 378.32
  4. Step 4: Simplify right side
    609.38x = 345,301.34
  5. Step 5: Solve for x
    x = 345,301.34/609.38
  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.