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Finding the Fourth Proportional to 680.11, 1,020.37 and 482.83

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Solution

The fourth proportional to 680.11, 1,020.37 and 482.83 is: 724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.11 : 1,020.37 = 482.83 : x
  2. Step 2: Convert to fraction form
    680.11/1,020.37 = 482.83/x
  3. Step 3: Cross multiply
    680.11x = 1,020.37 × 482.83
  4. Step 4: Simplify right side
    680.11x = 492,665.25
  5. Step 5: Solve for x
    x = 492,665.25/680.11
  6. Step 6: Final answer
    x = 724.39

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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.