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Finding the Fourth Proportional to 680.38, 1,019.94 and 333.49

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Solution

The fourth proportional to 680.38, 1,019.94 and 333.49 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.38 : 1,019.94 = 333.49 : x
  2. Step 2: Convert to fraction form
    680.38/1,019.94 = 333.49/x
  3. Step 3: Cross multiply
    680.38x = 1,019.94 × 333.49
  4. Step 4: Simplify right side
    680.38x = 340,139.79
  5. Step 5: Solve for x
    x = 340,139.79/680.38
  6. Step 6: Final answer
    x = 499.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.