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Finding the Fourth Proportional to 516.60, 713.82 and 406.95

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Solution

The fourth proportional to 516.60, 713.82 and 406.95 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 713.82 = 406.95 : x
  2. Step 2: Convert to fraction form
    516.60/713.82 = 406.95/x
  3. Step 3: Cross multiply
    516.60x = 713.82 × 406.95
  4. Step 4: Simplify right side
    516.60x = 290,489.05
  5. Step 5: Solve for x
    x = 290,489.05/516.60
  6. Step 6: Final answer
    x = 562.31

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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.