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Finding the Fourth Proportional to 481.64, 664.81 and 304.72

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Solution

The fourth proportional to 481.64, 664.81 and 304.72 is: 420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.64 : 664.81 = 304.72 : x
  2. Step 2: Convert to fraction form
    481.64/664.81 = 304.72/x
  3. Step 3: Cross multiply
    481.64x = 664.81 × 304.72
  4. Step 4: Simplify right side
    481.64x = 202,578.48
  5. Step 5: Solve for x
    x = 202,578.48/481.64
  6. Step 6: Final answer
    x = 420.61

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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.