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Finding the Fourth Proportional to 682.50, 941.82 and 402.74

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Solution

The fourth proportional to 682.50, 941.82 and 402.74 is: 555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 941.82 = 402.74 : x
  2. Step 2: Convert to fraction form
    682.50/941.82 = 402.74/x
  3. Step 3: Cross multiply
    682.50x = 941.82 × 402.74
  4. Step 4: Simplify right side
    682.50x = 379,306.57
  5. Step 5: Solve for x
    x = 379,306.57/682.50
  6. Step 6: Final answer
    x = 555.76

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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.