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Finding the Fourth Proportional to 516.45, 774.09 and 362.43

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Solution

The fourth proportional to 516.45, 774.09 and 362.43 is: 543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.45 : 774.09 = 362.43 : x
  2. Step 2: Convert to fraction form
    516.45/774.09 = 362.43/x
  3. Step 3: Cross multiply
    516.45x = 774.09 × 362.43
  4. Step 4: Simplify right side
    516.45x = 280,553.44
  5. Step 5: Solve for x
    x = 280,553.44/516.45
  6. Step 6: Final answer
    x = 543.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.