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Finding the Fourth Proportional to 739.89, 1,021.56 and 516.29

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Solution

The fourth proportional to 739.89, 1,021.56 and 516.29 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.89 : 1,021.56 = 516.29 : x
  2. Step 2: Convert to fraction form
    739.89/1,021.56 = 516.29/x
  3. Step 3: Cross multiply
    739.89x = 1,021.56 × 516.29
  4. Step 4: Simplify right side
    739.89x = 527,416.10
  5. Step 5: Solve for x
    x = 527,416.10/739.89
  6. Step 6: Final answer
    x = 712.83

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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.