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Finding the Fourth Proportional to 481.22, 720.46 and 442.95

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Solution

The fourth proportional to 481.22, 720.46 and 442.95 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.22 : 720.46 = 442.95 : x
  2. Step 2: Convert to fraction form
    481.22/720.46 = 442.95/x
  3. Step 3: Cross multiply
    481.22x = 720.46 × 442.95
  4. Step 4: Simplify right side
    481.22x = 319,125.54
  5. Step 5: Solve for x
    x = 319,125.54/481.22
  6. Step 6: Final answer
    x = 663.16

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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.