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Finding the Fourth Proportional to 683.92, 943.77 and 422.02

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Solution

The fourth proportional to 683.92, 943.77 and 422.02 is: 582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 943.77 = 422.02 : x
  2. Step 2: Convert to fraction form
    683.92/943.77 = 422.02/x
  3. Step 3: Cross multiply
    683.92x = 943.77 × 422.02
  4. Step 4: Simplify right side
    683.92x = 398,289.82
  5. Step 5: Solve for x
    x = 398,289.82/683.92
  6. Step 6: Final answer
    x = 582.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.