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Finding the Fourth Proportional to 682.58, 941.96 and 402.82

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Solution

The fourth proportional to 682.58, 941.96 and 402.82 is: 555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 941.96 = 402.82 : x
  2. Step 2: Convert to fraction form
    682.58/941.96 = 402.82/x
  3. Step 3: Cross multiply
    682.58x = 941.96 × 402.82
  4. Step 4: Simplify right side
    682.58x = 379,440.33
  5. Step 5: Solve for x
    x = 379,440.33/682.58
  6. Step 6: Final answer
    x = 555.89

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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.