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Finding the Fourth Proportional to 481.70, 667.13 and 446.15

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Solution

The fourth proportional to 481.70, 667.13 and 446.15 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 667.13 = 446.15 : x
  2. Step 2: Convert to fraction form
    481.70/667.13 = 446.15/x
  3. Step 3: Cross multiply
    481.70x = 667.13 × 446.15
  4. Step 4: Simplify right side
    481.70x = 297,634.48
  5. Step 5: Solve for x
    x = 297,634.48/481.70
  6. Step 6: Final answer
    x = 617.89

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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.