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Finding the Fourth Proportional to 481.72, 663.78 and 416.20

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Solution

The fourth proportional to 481.72, 663.78 and 416.20 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 663.78 = 416.20 : x
  2. Step 2: Convert to fraction form
    481.72/663.78 = 416.20/x
  3. Step 3: Cross multiply
    481.72x = 663.78 × 416.20
  4. Step 4: Simplify right side
    481.72x = 276,265.24
  5. Step 5: Solve for x
    x = 276,265.24/481.72
  6. Step 6: Final answer
    x = 573.50

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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.