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Finding the Fourth Proportional to 682.42, 940.66 and 625.92

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Solution

The fourth proportional to 682.42, 940.66 and 625.92 is: 862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 940.66 = 625.92 : x
  2. Step 2: Convert to fraction form
    682.42/940.66 = 625.92/x
  3. Step 3: Cross multiply
    682.42x = 940.66 × 625.92
  4. Step 4: Simplify right side
    682.42x = 588,777.91
  5. Step 5: Solve for x
    x = 588,777.91/682.42
  6. Step 6: Final answer
    x = 862.78

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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.