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Finding the Fourth Proportional to 516.84, 711.21 and 513.64

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Solution

The fourth proportional to 516.84, 711.21 and 513.64 is: 706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 711.21 = 513.64 : x
  2. Step 2: Convert to fraction form
    516.84/711.21 = 513.64/x
  3. Step 3: Cross multiply
    516.84x = 711.21 × 513.64
  4. Step 4: Simplify right side
    516.84x = 365,305.90
  5. Step 5: Solve for x
    x = 365,305.90/516.84
  6. Step 6: Final answer
    x = 706.81

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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.