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Finding the Fourth Proportional to 892.86, 1,231.95 and 683.28

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Solution

The fourth proportional to 892.86, 1,231.95 and 683.28 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,231.95 = 683.28 : x
  2. Step 2: Convert to fraction form
    892.86/1,231.95 = 683.28/x
  3. Step 3: Cross multiply
    892.86x = 1,231.95 × 683.28
  4. Step 4: Simplify right side
    892.86x = 841,766.80
  5. Step 5: Solve for x
    x = 841,766.80/892.86
  6. Step 6: Final answer
    x = 942.78

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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.