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Finding the Fourth Proportional to 481.25, 663.83 and 284.63

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Solution

The fourth proportional to 481.25, 663.83 and 284.63 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.25 : 663.83 = 284.63 : x
  2. Step 2: Convert to fraction form
    481.25/663.83 = 284.63/x
  3. Step 3: Cross multiply
    481.25x = 663.83 × 284.63
  4. Step 4: Simplify right side
    481.25x = 188,942.26
  5. Step 5: Solve for x
    x = 188,942.26/481.25
  6. Step 6: Final answer
    x = 392.61

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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.