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Finding the Fourth Proportional to 481.59, 720.56 and 442.86

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Solution

The fourth proportional to 481.59, 720.56 and 442.86 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.59 : 720.56 = 442.86 : x
  2. Step 2: Convert to fraction form
    481.59/720.56 = 442.86/x
  3. Step 3: Cross multiply
    481.59x = 720.56 × 442.86
  4. Step 4: Simplify right side
    481.59x = 319,107.20
  5. Step 5: Solve for x
    x = 319,107.20/481.59
  6. Step 6: Final answer
    x = 662.61

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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.