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Finding the Fourth Proportional to 481.60, 664.68 and 419.20

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Solution

The fourth proportional to 481.60, 664.68 and 419.20 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 664.68 = 419.20 : x
  2. Step 2: Convert to fraction form
    481.60/664.68 = 419.20/x
  3. Step 3: Cross multiply
    481.60x = 664.68 × 419.20
  4. Step 4: Simplify right side
    481.60x = 278,633.86
  5. Step 5: Solve for x
    x = 278,633.86/481.60
  6. Step 6: Final answer
    x = 578.56

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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.