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Finding the Fourth Proportional to 516.83, 711.86 and 514.09

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Solution

The fourth proportional to 516.83, 711.86 and 514.09 is: 708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 711.86 = 514.09 : x
  2. Step 2: Convert to fraction form
    516.83/711.86 = 514.09/x
  3. Step 3: Cross multiply
    516.83x = 711.86 × 514.09
  4. Step 4: Simplify right side
    516.83x = 365,955.76
  5. Step 5: Solve for x
    x = 365,955.76/516.83
  6. Step 6: Final answer
    x = 708.08

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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.