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Finding the Fourth Proportional to 646.38, 892.43 and 496.73

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Solution

The fourth proportional to 646.38, 892.43 and 496.73 is: 685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 892.43 = 496.73 : x
  2. Step 2: Convert to fraction form
    646.38/892.43 = 496.73/x
  3. Step 3: Cross multiply
    646.38x = 892.43 × 496.73
  4. Step 4: Simplify right side
    646.38x = 443,296.75
  5. Step 5: Solve for x
    x = 443,296.75/646.38
  6. Step 6: Final answer
    x = 685.81

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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.