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Finding the Fourth Proportional to 632.09, 943.87 and 516.76

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Solution

The fourth proportional to 632.09, 943.87 and 516.76 is: 771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.09 : 943.87 = 516.76 : x
  2. Step 2: Convert to fraction form
    632.09/943.87 = 516.76/x
  3. Step 3: Cross multiply
    632.09x = 943.87 × 516.76
  4. Step 4: Simplify right side
    632.09x = 487,754.26
  5. Step 5: Solve for x
    x = 487,754.26/632.09
  6. Step 6: Final answer
    x = 771.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.