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Finding the Fourth Proportional to 481.52, 663.96 and 393.92

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Solution

The fourth proportional to 481.52, 663.96 and 393.92 is: 543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.52 : 663.96 = 393.92 : x
  2. Step 2: Convert to fraction form
    481.52/663.96 = 393.92/x
  3. Step 3: Cross multiply
    481.52x = 663.96 × 393.92
  4. Step 4: Simplify right side
    481.52x = 261,547.12
  5. Step 5: Solve for x
    x = 261,547.12/481.52
  6. Step 6: Final answer
    x = 543.17

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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.