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Finding the Fourth Proportional to 408.81, 612 and 394.23

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Solution

The fourth proportional to 408.81, 612 and 394.23 is: 590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 612 = 394.23 : x
  2. Step 2: Convert to fraction form
    408.81/612 = 394.23/x
  3. Step 3: Cross multiply
    408.81x = 612 × 394.23
  4. Step 4: Simplify right side
    408.81x = 241,268.76
  5. Step 5: Solve for x
    x = 241,268.76/408.81
  6. Step 6: Final answer
    x = 590.17

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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.