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Finding the Fourth Proportional to 683.92, 942.57 and 539.74

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Solution

The fourth proportional to 683.92, 942.57 and 539.74 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 942.57 = 539.74 : x
  2. Step 2: Convert to fraction form
    683.92/942.57 = 539.74/x
  3. Step 3: Cross multiply
    683.92x = 942.57 × 539.74
  4. Step 4: Simplify right side
    683.92x = 508,742.73
  5. Step 5: Solve for x
    x = 508,742.73/683.92
  6. Step 6: Final answer
    x = 743.86

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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.