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Finding the Fourth Proportional to 682.21, 941.49 and 387.54

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Solution

The fourth proportional to 682.21, 941.49 and 387.54 is: 534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.21 : 941.49 = 387.54 : x
  2. Step 2: Convert to fraction form
    682.21/941.49 = 387.54/x
  3. Step 3: Cross multiply
    682.21x = 941.49 × 387.54
  4. Step 4: Simplify right side
    682.21x = 364,865.03
  5. Step 5: Solve for x
    x = 364,865.03/682.21
  6. Step 6: Final answer
    x = 534.83

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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.