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Finding the Fourth Proportional to 578.92, 799.28 and 516.64

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Solution

The fourth proportional to 578.92, 799.28 and 516.64 is: 713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 799.28 = 516.64 : x
  2. Step 2: Convert to fraction form
    578.92/799.28 = 516.64/x
  3. Step 3: Cross multiply
    578.92x = 799.28 × 516.64
  4. Step 4: Simplify right side
    578.92x = 412,940.37
  5. Step 5: Solve for x
    x = 412,940.37/578.92
  6. Step 6: Final answer
    x = 713.30

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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.