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Finding the Fourth Proportional to 481.34, 721.10 and 404.80

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Solution

The fourth proportional to 481.34, 721.10 and 404.80 is: 606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.34 : 721.10 = 404.80 : x
  2. Step 2: Convert to fraction form
    481.34/721.10 = 404.80/x
  3. Step 3: Cross multiply
    481.34x = 721.10 × 404.80
  4. Step 4: Simplify right side
    481.34x = 291,900.49
  5. Step 5: Solve for x
    x = 291,900.49/481.34
  6. Step 6: Final answer
    x = 606.43

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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.