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Finding the Fourth Proportional to 481.36, 720.96 and 419.80

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Solution

The fourth proportional to 481.36, 720.96 and 419.80 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.36 : 720.96 = 419.80 : x
  2. Step 2: Convert to fraction form
    481.36/720.96 = 419.80/x
  3. Step 3: Cross multiply
    481.36x = 720.96 × 419.80
  4. Step 4: Simplify right side
    481.36x = 302,659.01
  5. Step 5: Solve for x
    x = 302,659.01/481.36
  6. Step 6: Final answer
    x = 628.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.