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Finding the Fourth Proportional to 680.45, 1,020.60 and 241.70

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Solution

The fourth proportional to 680.45, 1,020.60 and 241.70 is: 362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 1,020.60 = 241.70 : x
  2. Step 2: Convert to fraction form
    680.45/1,020.60 = 241.70/x
  3. Step 3: Cross multiply
    680.45x = 1,020.60 × 241.70
  4. Step 4: Simplify right side
    680.45x = 246,673.92
  5. Step 5: Solve for x
    x = 246,673.92/680.45
  6. Step 6: Final answer
    x = 362.52

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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.