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Finding the Fourth Proportional to 447.82, 668.41 and 436.90

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Solution

The fourth proportional to 447.82, 668.41 and 436.90 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 668.41 = 436.90 : x
  2. Step 2: Convert to fraction form
    447.82/668.41 = 436.90/x
  3. Step 3: Cross multiply
    447.82x = 668.41 × 436.90
  4. Step 4: Simplify right side
    447.82x = 292,028.33
  5. Step 5: Solve for x
    x = 292,028.33/447.82
  6. Step 6: Final answer
    x = 652.11

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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.