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Finding the Fourth Proportional to 516.21, 769.96 and 500.82

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Solution

The fourth proportional to 516.21, 769.96 and 500.82 is: 747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 769.96 = 500.82 : x
  2. Step 2: Convert to fraction form
    516.21/769.96 = 500.82/x
  3. Step 3: Cross multiply
    516.21x = 769.96 × 500.82
  4. Step 4: Simplify right side
    516.21x = 385,611.37
  5. Step 5: Solve for x
    x = 385,611.37/516.21
  6. Step 6: Final answer
    x = 747.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.