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Finding the Fourth Proportional to 516.94, 713.24 and 451.32

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Solution

The fourth proportional to 516.94, 713.24 and 451.32 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 713.24 = 451.32 : x
  2. Step 2: Convert to fraction form
    516.94/713.24 = 451.32/x
  3. Step 3: Cross multiply
    516.94x = 713.24 × 451.32
  4. Step 4: Simplify right side
    516.94x = 321,899.48
  5. Step 5: Solve for x
    x = 321,899.48/516.94
  6. Step 6: Final answer
    x = 622.70

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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.