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Finding the Fourth Proportional to 516.72, 706.86 and 515.28

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Solution

The fourth proportional to 516.72, 706.86 and 515.28 is: 704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 706.86 = 515.28 : x
  2. Step 2: Convert to fraction form
    516.72/706.86 = 515.28/x
  3. Step 3: Cross multiply
    516.72x = 706.86 × 515.28
  4. Step 4: Simplify right side
    516.72x = 364,230.82
  5. Step 5: Solve for x
    x = 364,230.82/516.72
  6. Step 6: Final answer
    x = 704.89

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Why These Related Problems?

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