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Finding the Fourth Proportional to 481.14, 662.78 and 456.44

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Solution

The fourth proportional to 481.14, 662.78 and 456.44 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.14 : 662.78 = 456.44 : x
  2. Step 2: Convert to fraction form
    481.14/662.78 = 456.44/x
  3. Step 3: Cross multiply
    481.14x = 662.78 × 456.44
  4. Step 4: Simplify right side
    481.14x = 302,517.13
  5. Step 5: Solve for x
    x = 302,517.13/481.14
  6. Step 6: Final answer
    x = 628.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.