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Finding the Fourth Proportional to 680.27, 1,020.92 and 498.14

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Solution

The fourth proportional to 680.27, 1,020.92 and 498.14 is: 747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,020.92 = 498.14 : x
  2. Step 2: Convert to fraction form
    680.27/1,020.92 = 498.14/x
  3. Step 3: Cross multiply
    680.27x = 1,020.92 × 498.14
  4. Step 4: Simplify right side
    680.27x = 508,556.59
  5. Step 5: Solve for x
    x = 508,556.59/680.27
  6. Step 6: Final answer
    x = 747.58

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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.