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Finding the Fourth Proportional to 680.44, 938.99 and 369.94

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Solution

The fourth proportional to 680.44, 938.99 and 369.94 is: 510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 938.99 = 369.94 : x
  2. Step 2: Convert to fraction form
    680.44/938.99 = 369.94/x
  3. Step 3: Cross multiply
    680.44x = 938.99 × 369.94
  4. Step 4: Simplify right side
    680.44x = 347,363.42
  5. Step 5: Solve for x
    x = 347,363.42/680.44
  6. Step 6: Final answer
    x = 510.50

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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.