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Finding the Fourth Proportional to 682.56, 941.90 and 420.53

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Solution

The fourth proportional to 682.56, 941.90 and 420.53 is: 580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 941.90 = 420.53 : x
  2. Step 2: Convert to fraction form
    682.56/941.90 = 420.53/x
  3. Step 3: Cross multiply
    682.56x = 941.90 × 420.53
  4. Step 4: Simplify right side
    682.56x = 396,090.39
  5. Step 5: Solve for x
    x = 396,090.39/682.56
  6. Step 6: Final answer
    x = 580.30

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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.