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Finding the Fourth Proportional to 656.67, 905.32 and 516.25

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Solution

The fourth proportional to 656.67, 905.32 and 516.25 is: 711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.67 : 905.32 = 516.25 : x
  2. Step 2: Convert to fraction form
    656.67/905.32 = 516.25/x
  3. Step 3: Cross multiply
    656.67x = 905.32 × 516.25
  4. Step 4: Simplify right side
    656.67x = 467,371.45
  5. Step 5: Solve for x
    x = 467,371.45/656.67
  6. Step 6: Final answer
    x = 711.73

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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.