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Finding the Fourth Proportional to 492.48, 682.43 and 481.14

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Solution

The fourth proportional to 492.48, 682.43 and 481.14 is: 666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 682.43 = 481.14 : x
  2. Step 2: Convert to fraction form
    492.48/682.43 = 481.14/x
  3. Step 3: Cross multiply
    492.48x = 682.43 × 481.14
  4. Step 4: Simplify right side
    492.48x = 328,341.96
  5. Step 5: Solve for x
    x = 328,341.96/492.48
  6. Step 6: Final answer
    x = 666.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.