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Finding the Fourth Proportional to 516.76, 775.24 and 332.86

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Solution

The fourth proportional to 516.76, 775.24 and 332.86 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 775.24 = 332.86 : x
  2. Step 2: Convert to fraction form
    516.76/775.24 = 332.86/x
  3. Step 3: Cross multiply
    516.76x = 775.24 × 332.86
  4. Step 4: Simplify right side
    516.76x = 258,046.39
  5. Step 5: Solve for x
    x = 258,046.39/516.76
  6. Step 6: Final answer
    x = 499.35

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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.