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Finding the Fourth Proportional to 496.19, 743.83 and 171.48

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Solution

The fourth proportional to 496.19, 743.83 and 171.48 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.19 : 743.83 = 171.48 : x
  2. Step 2: Convert to fraction form
    496.19/743.83 = 171.48/x
  3. Step 3: Cross multiply
    496.19x = 743.83 × 171.48
  4. Step 4: Simplify right side
    496.19x = 127,551.97
  5. Step 5: Solve for x
    x = 127,551.97/496.19
  6. Step 6: Final answer
    x = 257.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.