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Finding the Fourth Proportional to 682.78, 942.46 and 559.80

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Solution

The fourth proportional to 682.78, 942.46 and 559.80 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 942.46 = 559.80 : x
  2. Step 2: Convert to fraction form
    682.78/942.46 = 559.80/x
  3. Step 3: Cross multiply
    682.78x = 942.46 × 559.80
  4. Step 4: Simplify right side
    682.78x = 527,589.11
  5. Step 5: Solve for x
    x = 527,589.11/682.78
  6. Step 6: Final answer
    x = 772.71

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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.