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Finding the Fourth Proportional to 682.56, 942.78 and 505.86

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Solution

The fourth proportional to 682.56, 942.78 and 505.86 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 942.78 = 505.86 : x
  2. Step 2: Convert to fraction form
    682.56/942.78 = 505.86/x
  3. Step 3: Cross multiply
    682.56x = 942.78 × 505.86
  4. Step 4: Simplify right side
    682.56x = 476,914.69
  5. Step 5: Solve for x
    x = 476,914.69/682.56
  6. Step 6: Final answer
    x = 698.71

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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.