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Finding the Fourth Proportional to 516.53, 773.01 and 321.45

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Solution

The fourth proportional to 516.53, 773.01 and 321.45 is: 481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 773.01 = 321.45 : x
  2. Step 2: Convert to fraction form
    516.53/773.01 = 321.45/x
  3. Step 3: Cross multiply
    516.53x = 773.01 × 321.45
  4. Step 4: Simplify right side
    516.53x = 248,484.06
  5. Step 5: Solve for x
    x = 248,484.06/516.53
  6. Step 6: Final answer
    x = 481.07

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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.