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Finding the Fourth Proportional to 516.29, 772.64 and 422.66

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Solution

The fourth proportional to 516.29, 772.64 and 422.66 is: 632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 772.64 = 422.66 : x
  2. Step 2: Convert to fraction form
    516.29/772.64 = 422.66/x
  3. Step 3: Cross multiply
    516.29x = 772.64 × 422.66
  4. Step 4: Simplify right side
    516.29x = 326,558.05
  5. Step 5: Solve for x
    x = 326,558.05/516.29
  6. Step 6: Final answer
    x = 632.51

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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.