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Finding the Fourth Proportional to 414.32, 622.20 and 380.56

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Solution

The fourth proportional to 414.32, 622.20 and 380.56 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 622.20 = 380.56 : x
  2. Step 2: Convert to fraction form
    414.32/622.20 = 380.56/x
  3. Step 3: Cross multiply
    414.32x = 622.20 × 380.56
  4. Step 4: Simplify right side
    414.32x = 236,784.43
  5. Step 5: Solve for x
    x = 236,784.43/414.32
  6. Step 6: Final answer
    x = 571.50

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Double scale
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1.5x scale

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.