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Finding the Fourth Proportional to 513.97, 713.46 and 481.57

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Solution

The fourth proportional to 513.97, 713.46 and 481.57 is: 668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 713.46 = 481.57 : x
  2. Step 2: Convert to fraction form
    513.97/713.46 = 481.57/x
  3. Step 3: Cross multiply
    513.97x = 713.46 × 481.57
  4. Step 4: Simplify right side
    513.97x = 343,580.93
  5. Step 5: Solve for x
    x = 343,580.93/513.97
  6. Step 6: Final answer
    x = 668.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.