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Finding the Fourth Proportional to 451.90, 682.15 and 447.04

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Solution

The fourth proportional to 451.90, 682.15 and 447.04 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 682.15 = 447.04 : x
  2. Step 2: Convert to fraction form
    451.90/682.15 = 447.04/x
  3. Step 3: Cross multiply
    451.90x = 682.15 × 447.04
  4. Step 4: Simplify right side
    451.90x = 304,948.91
  5. Step 5: Solve for x
    x = 304,948.91/451.90
  6. Step 6: Final answer
    x = 674.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.