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Finding the Fourth Proportional to 682.98, 942.52 and 388.24

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Solution

The fourth proportional to 682.98, 942.52 and 388.24 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 942.52 = 388.24 : x
  2. Step 2: Convert to fraction form
    682.98/942.52 = 388.24/x
  3. Step 3: Cross multiply
    682.98x = 942.52 × 388.24
  4. Step 4: Simplify right side
    682.98x = 365,923.96
  5. Step 5: Solve for x
    x = 365,923.96/682.98
  6. Step 6: Final answer
    x = 535.78

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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.