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Finding the Fourth Proportional to 682.50, 941.85 and 372

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Solution

The fourth proportional to 682.50, 941.85 and 372 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 941.85 = 372 : x
  2. Step 2: Convert to fraction form
    682.50/941.85 = 372/x
  3. Step 3: Cross multiply
    682.50x = 941.85 × 372
  4. Step 4: Simplify right side
    682.50x = 350,368.20
  5. Step 5: Solve for x
    x = 350,368.20/682.50
  6. Step 6: Final answer
    x = 513.36

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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.