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Finding the Fourth Proportional to 620.92, 857.38 and 422.17

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Solution

The fourth proportional to 620.92, 857.38 and 422.17 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.92 : 857.38 = 422.17 : x
  2. Step 2: Convert to fraction form
    620.92/857.38 = 422.17/x
  3. Step 3: Cross multiply
    620.92x = 857.38 × 422.17
  4. Step 4: Simplify right side
    620.92x = 361,963.24
  5. Step 5: Solve for x
    x = 361,963.24/620.92
  6. Step 6: Final answer
    x = 582.94

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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.