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Finding the Fourth Proportional to 494.99, 742.58 and 170.39

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Solution

The fourth proportional to 494.99, 742.58 and 170.39 is: 255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.99 : 742.58 = 170.39 : x
  2. Step 2: Convert to fraction form
    494.99/742.58 = 170.39/x
  3. Step 3: Cross multiply
    494.99x = 742.58 × 170.39
  4. Step 4: Simplify right side
    494.99x = 126,528.21
  5. Step 5: Solve for x
    x = 126,528.21/494.99
  6. Step 6: Final answer
    x = 255.62

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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.