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Finding the Fourth Proportional to 481.47, 719.27 and 306.73

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Solution

The fourth proportional to 481.47, 719.27 and 306.73 is: 458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.47 : 719.27 = 306.73 : x
  2. Step 2: Convert to fraction form
    481.47/719.27 = 306.73/x
  3. Step 3: Cross multiply
    481.47x = 719.27 × 306.73
  4. Step 4: Simplify right side
    481.47x = 220,620.66
  5. Step 5: Solve for x
    x = 220,620.66/481.47
  6. Step 6: Final answer
    x = 458.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.