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Finding the Fourth Proportional to 481.93, 664.96 and 474.64

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Solution

The fourth proportional to 481.93, 664.96 and 474.64 is: 654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.93 : 664.96 = 474.64 : x
  2. Step 2: Convert to fraction form
    481.93/664.96 = 474.64/x
  3. Step 3: Cross multiply
    481.93x = 664.96 × 474.64
  4. Step 4: Simplify right side
    481.93x = 315,616.61
  5. Step 5: Solve for x
    x = 315,616.61/481.93
  6. Step 6: Final answer
    x = 654.90

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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.