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Finding the Fourth Proportional to 680.43, 1,020.26 and 241.65

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Solution

The fourth proportional to 680.43, 1,020.26 and 241.65 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.43 : 1,020.26 = 241.65 : x
  2. Step 2: Convert to fraction form
    680.43/1,020.26 = 241.65/x
  3. Step 3: Cross multiply
    680.43x = 1,020.26 × 241.65
  4. Step 4: Simplify right side
    680.43x = 246,544.62
  5. Step 5: Solve for x
    x = 246,544.62/680.43
  6. Step 6: Final answer
    x = 362.34

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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.