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Finding the Fourth Proportional to 516.76, 713.26 and 339.64

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Solution

The fourth proportional to 516.76, 713.26 and 339.64 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.26 = 339.64 : x
  2. Step 2: Convert to fraction form
    516.76/713.26 = 339.64/x
  3. Step 3: Cross multiply
    516.76x = 713.26 × 339.64
  4. Step 4: Simplify right side
    516.76x = 242,251.63
  5. Step 5: Solve for x
    x = 242,251.63/516.76
  6. Step 6: Final answer
    x = 468.79

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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.