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Finding the Fourth Proportional to 516.79, 775.37 and 311.51

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Solution

The fourth proportional to 516.79, 775.37 and 311.51 is: 467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.79 : 775.37 = 311.51 : x
  2. Step 2: Convert to fraction form
    516.79/775.37 = 311.51/x
  3. Step 3: Cross multiply
    516.79x = 775.37 × 311.51
  4. Step 4: Simplify right side
    516.79x = 241,538.23
  5. Step 5: Solve for x
    x = 241,538.23/516.79
  6. Step 6: Final answer
    x = 467.38

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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.