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Finding the Fourth Proportional to 540.81, 745.97 and 516.69

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Solution

The fourth proportional to 540.81, 745.97 and 516.69 is: 712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 745.97 = 516.69 : x
  2. Step 2: Convert to fraction form
    540.81/745.97 = 516.69/x
  3. Step 3: Cross multiply
    540.81x = 745.97 × 516.69
  4. Step 4: Simplify right side
    540.81x = 385,432.66
  5. Step 5: Solve for x
    x = 385,432.66/540.81
  6. Step 6: Final answer
    x = 712.70

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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.