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Finding the Fourth Proportional to 683.33, 1,025.35 and 394.97

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Solution

The fourth proportional to 683.33, 1,025.35 and 394.97 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.33 : 1,025.35 = 394.97 : x
  2. Step 2: Convert to fraction form
    683.33/1,025.35 = 394.97/x
  3. Step 3: Cross multiply
    683.33x = 1,025.35 × 394.97
  4. Step 4: Simplify right side
    683.33x = 404,976.38
  5. Step 5: Solve for x
    x = 404,976.38/683.33
  6. Step 6: Final answer
    x = 592.66

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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.