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Finding the Fourth Proportional to 516.87, 713.27 and 284.00

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Solution

The fourth proportional to 516.87, 713.27 and 284.00 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 713.27 = 284.00 : x
  2. Step 2: Convert to fraction form
    516.87/713.27 = 284.00/x
  3. Step 3: Cross multiply
    516.87x = 713.27 × 284.00
  4. Step 4: Simplify right side
    516.87x = 202,563.69
  5. Step 5: Solve for x
    x = 202,563.69/516.87
  6. Step 6: Final answer
    x = 391.90

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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.