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Finding the Fourth Proportional to 547.72, 816.29 and 516.12

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Solution

The fourth proportional to 547.72, 816.29 and 516.12 is: 769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.72 : 816.29 = 516.12 : x
  2. Step 2: Convert to fraction form
    547.72/816.29 = 516.12/x
  3. Step 3: Cross multiply
    547.72x = 816.29 × 516.12
  4. Step 4: Simplify right side
    547.72x = 421,303.59
  5. Step 5: Solve for x
    x = 421,303.59/547.72
  6. Step 6: Final answer
    x = 769.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.