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Finding the Fourth Proportional to 516.87, 712.46 and 406.15

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Solution

The fourth proportional to 516.87, 712.46 and 406.15 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 712.46 = 406.15 : x
  2. Step 2: Convert to fraction form
    516.87/712.46 = 406.15/x
  3. Step 3: Cross multiply
    516.87x = 712.46 × 406.15
  4. Step 4: Simplify right side
    516.87x = 289,365.63
  5. Step 5: Solve for x
    x = 289,365.63/516.87
  6. Step 6: Final answer
    x = 559.84

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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.