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Finding the Fourth Proportional to 496.92, 685.02 and 445.08

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Solution

The fourth proportional to 496.92, 685.02 and 445.08 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 685.02 = 445.08 : x
  2. Step 2: Convert to fraction form
    496.92/685.02 = 445.08/x
  3. Step 3: Cross multiply
    496.92x = 685.02 × 445.08
  4. Step 4: Simplify right side
    496.92x = 304,888.70
  5. Step 5: Solve for x
    x = 304,888.70/496.92
  6. Step 6: Final answer
    x = 613.56

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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.