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Finding the Fourth Proportional to 723.62, 997.54 and 516.26

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Solution

The fourth proportional to 723.62, 997.54 and 516.26 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 997.54 = 516.26 : x
  2. Step 2: Convert to fraction form
    723.62/997.54 = 516.26/x
  3. Step 3: Cross multiply
    723.62x = 997.54 × 516.26
  4. Step 4: Simplify right side
    723.62x = 514,990.00
  5. Step 5: Solve for x
    x = 514,990.00/723.62
  6. Step 6: Final answer
    x = 711.69

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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.