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Finding the Fourth Proportional to 516.82, 712.79 and 454.52

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Solution

The fourth proportional to 516.82, 712.79 and 454.52 is: 626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.82 : 712.79 = 454.52 : x
  2. Step 2: Convert to fraction form
    516.82/712.79 = 454.52/x
  3. Step 3: Cross multiply
    516.82x = 712.79 × 454.52
  4. Step 4: Simplify right side
    516.82x = 323,977.31
  5. Step 5: Solve for x
    x = 323,977.31/516.82
  6. Step 6: Final answer
    x = 626.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.