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Finding the Fourth Proportional to 680.24, 939.39 and 447.50

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Solution

The fourth proportional to 680.24, 939.39 and 447.50 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 939.39 = 447.50 : x
  2. Step 2: Convert to fraction form
    680.24/939.39 = 447.50/x
  3. Step 3: Cross multiply
    680.24x = 939.39 × 447.50
  4. Step 4: Simplify right side
    680.24x = 420,377.03
  5. Step 5: Solve for x
    x = 420,377.03/680.24
  6. Step 6: Final answer
    x = 617.98

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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.