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Finding the Fourth Proportional to 538.64, 806.72 and 394

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Solution

The fourth proportional to 538.64, 806.72 and 394 is: 590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 806.72 = 394 : x
  2. Step 2: Convert to fraction form
    538.64/806.72 = 394/x
  3. Step 3: Cross multiply
    538.64x = 806.72 × 394
  4. Step 4: Simplify right side
    538.64x = 317,847.68
  5. Step 5: Solve for x
    x = 317,847.68/538.64
  6. Step 6: Final answer
    x = 590.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.