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Finding the Fourth Proportional to 682.91, 942.50 and 388.31

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Solution

The fourth proportional to 682.91, 942.50 and 388.31 is: 535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.91 : 942.50 = 388.31 : x
  2. Step 2: Convert to fraction form
    682.91/942.50 = 388.31/x
  3. Step 3: Cross multiply
    682.91x = 942.50 × 388.31
  4. Step 4: Simplify right side
    682.91x = 365,978.43
  5. Step 5: Solve for x
    x = 365,978.43/682.91
  6. Step 6: Final answer
    x = 535.91

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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.