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Finding the Fourth Proportional to 455.18, 682.16 and 418.73

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Solution

The fourth proportional to 455.18, 682.16 and 418.73 is: 627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.18 : 682.16 = 418.73 : x
  2. Step 2: Convert to fraction form
    455.18/682.16 = 418.73/x
  3. Step 3: Cross multiply
    455.18x = 682.16 × 418.73
  4. Step 4: Simplify right side
    455.18x = 285,635.35
  5. Step 5: Solve for x
    x = 285,635.35/455.18
  6. Step 6: Final answer
    x = 627.53

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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.