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Finding the Fourth Proportional to 682.58, 942.14 and 387.86

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Solution

The fourth proportional to 682.58, 942.14 and 387.86 is: 535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 942.14 = 387.86 : x
  2. Step 2: Convert to fraction form
    682.58/942.14 = 387.86/x
  3. Step 3: Cross multiply
    682.58x = 942.14 × 387.86
  4. Step 4: Simplify right side
    682.58x = 365,414.68
  5. Step 5: Solve for x
    x = 365,414.68/682.58
  6. Step 6: Final answer
    x = 535.34

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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.