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Finding the Fourth Proportional to 516.19, 773.43 and 496.21

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Solution

The fourth proportional to 516.19, 773.43 and 496.21 is: 743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 773.43 = 496.21 : x
  2. Step 2: Convert to fraction form
    516.19/773.43 = 496.21/x
  3. Step 3: Cross multiply
    516.19x = 773.43 × 496.21
  4. Step 4: Simplify right side
    516.19x = 383,783.70
  5. Step 5: Solve for x
    x = 383,783.70/516.19
  6. Step 6: Final answer
    x = 743.49

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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.