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Finding the Fourth Proportional to 516.70, 709.31 and 511.84

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Solution

The fourth proportional to 516.70, 709.31 and 511.84 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 709.31 = 511.84 : x
  2. Step 2: Convert to fraction form
    516.70/709.31 = 511.84/x
  3. Step 3: Cross multiply
    516.70x = 709.31 × 511.84
  4. Step 4: Simplify right side
    516.70x = 363,053.23
  5. Step 5: Solve for x
    x = 363,053.23/516.70
  6. Step 6: Final answer
    x = 702.64

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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.