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Finding the Fourth Proportional to 667.99, 922.18 and 447.32

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Solution

The fourth proportional to 667.99, 922.18 and 447.32 is: 617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.99 : 922.18 = 447.32 : x
  2. Step 2: Convert to fraction form
    667.99/922.18 = 447.32/x
  3. Step 3: Cross multiply
    667.99x = 922.18 × 447.32
  4. Step 4: Simplify right side
    667.99x = 412,504.95
  5. Step 5: Solve for x
    x = 412,504.95/667.99
  6. Step 6: Final answer
    x = 617.54

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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.