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Finding the Fourth Proportional to 682.43, 941.48 and 475.55

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Solution

The fourth proportional to 682.43, 941.48 and 475.55 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.43 : 941.48 = 475.55 : x
  2. Step 2: Convert to fraction form
    682.43/941.48 = 475.55/x
  3. Step 3: Cross multiply
    682.43x = 941.48 × 475.55
  4. Step 4: Simplify right side
    682.43x = 447,718.44
  5. Step 5: Solve for x
    x = 447,718.44/682.43
  6. Step 6: Final answer
    x = 656.06

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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.