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Finding the Fourth Proportional to 516.83, 771.46 and 455.32

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Solution

The fourth proportional to 516.83, 771.46 and 455.32 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 771.46 = 455.32 : x
  2. Step 2: Convert to fraction form
    516.83/771.46 = 455.32/x
  3. Step 3: Cross multiply
    516.83x = 771.46 × 455.32
  4. Step 4: Simplify right side
    516.83x = 351,262.91
  5. Step 5: Solve for x
    x = 351,262.91/516.83
  6. Step 6: Final answer
    x = 679.65

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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.