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Finding the Fourth Proportional to 667.11, 920.97 and 446.44

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Solution

The fourth proportional to 667.11, 920.97 and 446.44 is: 616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.11 : 920.97 = 446.44 : x
  2. Step 2: Convert to fraction form
    667.11/920.97 = 446.44/x
  3. Step 3: Cross multiply
    667.11x = 920.97 × 446.44
  4. Step 4: Simplify right side
    667.11x = 411,154.68
  5. Step 5: Solve for x
    x = 411,154.68/667.11
  6. Step 6: Final answer
    x = 616.32

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1.5x scale

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.