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Finding the Fourth Proportional to 682, 941.17 and 371.50

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Solution

The fourth proportional to 682, 941.17 and 371.50 is: 512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682 : 941.17 = 371.50 : x
  2. Step 2: Convert to fraction form
    682/941.17 = 371.50/x
  3. Step 3: Cross multiply
    682x = 941.17 × 371.50
  4. Step 4: Simplify right side
    682x = 349,644.66
  5. Step 5: Solve for x
    x = 349,644.66/682
  6. Step 6: Final answer
    x = 512.68

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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.