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Finding the Fourth Proportional to 516.43, 713.62 and 376.31

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Solution

The fourth proportional to 516.43, 713.62 and 376.31 is: 520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.43 : 713.62 = 376.31 : x
  2. Step 2: Convert to fraction form
    516.43/713.62 = 376.31/x
  3. Step 3: Cross multiply
    516.43x = 713.62 × 376.31
  4. Step 4: Simplify right side
    516.43x = 268,542.12
  5. Step 5: Solve for x
    x = 268,542.12/516.43
  6. Step 6: Final answer
    x = 520.00

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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.