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Finding the Fourth Proportional to 516.88, 713.82 and 359.74

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Solution

The fourth proportional to 516.88, 713.82 and 359.74 is: 496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 713.82 = 359.74 : x
  2. Step 2: Convert to fraction form
    516.88/713.82 = 359.74/x
  3. Step 3: Cross multiply
    516.88x = 713.82 × 359.74
  4. Step 4: Simplify right side
    516.88x = 256,789.61
  5. Step 5: Solve for x
    x = 256,789.61/516.88
  6. Step 6: Final answer
    x = 496.81

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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.