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Finding the Fourth Proportional to 674.23, 930.73 and 447.09

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Solution

The fourth proportional to 674.23, 930.73 and 447.09 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.23 : 930.73 = 447.09 : x
  2. Step 2: Convert to fraction form
    674.23/930.73 = 447.09/x
  3. Step 3: Cross multiply
    674.23x = 930.73 × 447.09
  4. Step 4: Simplify right side
    674.23x = 416,120.08
  5. Step 5: Solve for x
    x = 416,120.08/674.23
  6. Step 6: Final answer
    x = 617.18

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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.