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Finding the Fourth Proportional to 455.27, 682.32 and 396.47

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Solution

The fourth proportional to 455.27, 682.32 and 396.47 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.27 : 682.32 = 396.47 : x
  2. Step 2: Convert to fraction form
    455.27/682.32 = 396.47/x
  3. Step 3: Cross multiply
    455.27x = 682.32 × 396.47
  4. Step 4: Simplify right side
    455.27x = 270,517.49
  5. Step 5: Solve for x
    x = 270,517.49/455.27
  6. Step 6: Final answer
    x = 594.19

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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.