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Finding the Fourth Proportional to 682.92, 942.03 and 420.75

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Solution

The fourth proportional to 682.92, 942.03 and 420.75 is: 580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.92 : 942.03 = 420.75 : x
  2. Step 2: Convert to fraction form
    682.92/942.03 = 420.75/x
  3. Step 3: Cross multiply
    682.92x = 942.03 × 420.75
  4. Step 4: Simplify right side
    682.92x = 396,359.12
  5. Step 5: Solve for x
    x = 396,359.12/682.92
  6. Step 6: Final answer
    x = 580.39

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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.