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Finding the Fourth Proportional to 516.71, 775.20 and 451.10

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Solution

The fourth proportional to 516.71, 775.20 and 451.10 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 775.20 = 451.10 : x
  2. Step 2: Convert to fraction form
    516.71/775.20 = 451.10/x
  3. Step 3: Cross multiply
    516.71x = 775.20 × 451.10
  4. Step 4: Simplify right side
    516.71x = 349,689.65
  5. Step 5: Solve for x
    x = 349,689.65/516.71
  6. Step 6: Final answer
    x = 676.77

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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.