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Finding the Fourth Proportional to 547.70, 751.61 and 516.78

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Solution

The fourth proportional to 547.70, 751.61 and 516.78 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 751.61 = 516.78 : x
  2. Step 2: Convert to fraction form
    547.70/751.61 = 516.78/x
  3. Step 3: Cross multiply
    547.70x = 751.61 × 516.78
  4. Step 4: Simplify right side
    547.70x = 388,418.31
  5. Step 5: Solve for x
    x = 388,418.31/547.70
  6. Step 6: Final answer
    x = 709.19

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