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Finding the Fourth Proportional to 516.92, 713.43 and 499.82

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Solution

The fourth proportional to 516.92, 713.43 and 499.82 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 713.43 = 499.82 : x
  2. Step 2: Convert to fraction form
    516.92/713.43 = 499.82/x
  3. Step 3: Cross multiply
    516.92x = 713.43 × 499.82
  4. Step 4: Simplify right side
    516.92x = 356,588.37
  5. Step 5: Solve for x
    x = 356,588.37/516.92
  6. Step 6: Final answer
    x = 689.84

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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.