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Finding the Fourth Proportional to 481.73, 664.53 and 284.90

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Solution

The fourth proportional to 481.73, 664.53 and 284.90 is: 393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.73 : 664.53 = 284.90 : x
  2. Step 2: Convert to fraction form
    481.73/664.53 = 284.90/x
  3. Step 3: Cross multiply
    481.73x = 664.53 × 284.90
  4. Step 4: Simplify right side
    481.73x = 189,321.27
  5. Step 5: Solve for x
    x = 189,321.27/481.73
  6. Step 6: Final answer
    x = 393.01

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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.