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Finding the Fourth Proportional to 664.31, 913.00 and 516.69

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Solution

The fourth proportional to 664.31, 913.00 and 516.69 is: 710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 913.00 = 516.69 : x
  2. Step 2: Convert to fraction form
    664.31/913.00 = 516.69/x
  3. Step 3: Cross multiply
    664.31x = 913.00 × 516.69
  4. Step 4: Simplify right side
    664.31x = 471,730.82
  5. Step 5: Solve for x
    x = 471,730.82/664.31
  6. Step 6: Final answer
    x = 710.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.