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Finding the Fourth Proportional to 641.23, 884.33 and 516.85

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Solution

The fourth proportional to 641.23, 884.33 and 516.85 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.23 : 884.33 = 516.85 : x
  2. Step 2: Convert to fraction form
    641.23/884.33 = 516.85/x
  3. Step 3: Cross multiply
    641.23x = 884.33 × 516.85
  4. Step 4: Simplify right side
    641.23x = 457,062.83
  5. Step 5: Solve for x
    x = 457,062.83/641.23
  6. Step 6: Final answer
    x = 712.80

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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.