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Finding the Fourth Proportional to 680.65, 938.94 and 444.73

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Solution

The fourth proportional to 680.65, 938.94 and 444.73 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.65 : 938.94 = 444.73 : x
  2. Step 2: Convert to fraction form
    680.65/938.94 = 444.73/x
  3. Step 3: Cross multiply
    680.65x = 938.94 × 444.73
  4. Step 4: Simplify right side
    680.65x = 417,577.78
  5. Step 5: Solve for x
    x = 417,577.78/680.65
  6. Step 6: Final answer
    x = 613.50

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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.