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Finding the Fourth Proportional to 516.12, 716.07 and 511.32

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Solution

The fourth proportional to 516.12, 716.07 and 511.32 is: 709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 716.07 = 511.32 : x
  2. Step 2: Convert to fraction form
    516.12/716.07 = 511.32/x
  3. Step 3: Cross multiply
    516.12x = 716.07 × 511.32
  4. Step 4: Simplify right side
    516.12x = 366,140.91
  5. Step 5: Solve for x
    x = 366,140.91/516.12
  6. Step 6: Final answer
    x = 709.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.