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Finding the Fourth Proportional to 682.76, 1,023.58 and 394.44

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Solution

The fourth proportional to 682.76, 1,023.58 and 394.44 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.76 : 1,023.58 = 394.44 : x
  2. Step 2: Convert to fraction form
    682.76/1,023.58 = 394.44/x
  3. Step 3: Cross multiply
    682.76x = 1,023.58 × 394.44
  4. Step 4: Simplify right side
    682.76x = 403,740.90
  5. Step 5: Solve for x
    x = 403,740.90/682.76
  6. Step 6: Final answer
    x = 591.34

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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.