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Finding the Fourth Proportional to 683, 1,023.76 and 293.20

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Solution

The fourth proportional to 683, 1,023.76 and 293.20 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 1,023.76 = 293.20 : x
  2. Step 2: Convert to fraction form
    683/1,023.76 = 293.20/x
  3. Step 3: Cross multiply
    683x = 1,023.76 × 293.20
  4. Step 4: Simplify right side
    683x = 300,166.43
  5. Step 5: Solve for x
    x = 300,166.43/683
  6. Step 6: Final answer
    x = 439.48

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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.