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Finding the Fourth Proportional to 516.72, 707.55 and 513.12

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Solution

The fourth proportional to 516.72, 707.55 and 513.12 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 707.55 = 513.12 : x
  2. Step 2: Convert to fraction form
    516.72/707.55 = 513.12/x
  3. Step 3: Cross multiply
    516.72x = 707.55 × 513.12
  4. Step 4: Simplify right side
    516.72x = 363,058.06
  5. Step 5: Solve for x
    x = 363,058.06/516.72
  6. Step 6: Final answer
    x = 702.62

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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.