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Finding the Fourth Proportional to 516.89, 707.81 and 496.23

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Solution

The fourth proportional to 516.89, 707.81 and 496.23 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 707.81 = 496.23 : x
  2. Step 2: Convert to fraction form
    516.89/707.81 = 496.23/x
  3. Step 3: Cross multiply
    516.89x = 707.81 × 496.23
  4. Step 4: Simplify right side
    516.89x = 351,234.08
  5. Step 5: Solve for x
    x = 351,234.08/516.89
  6. Step 6: Final answer
    x = 679.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.