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Finding the Fourth Proportional to 516.69, 712.75 and 339.68

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Solution

The fourth proportional to 516.69, 712.75 and 339.68 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 712.75 = 339.68 : x
  2. Step 2: Convert to fraction form
    516.69/712.75 = 339.68/x
  3. Step 3: Cross multiply
    516.69x = 712.75 × 339.68
  4. Step 4: Simplify right side
    516.69x = 242,107.85
  5. Step 5: Solve for x
    x = 242,107.85/516.69
  6. Step 6: Final answer
    x = 468.57

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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.