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Finding the Fourth Proportional to 516.54, 708.05 and 509.62

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Solution

The fourth proportional to 516.54, 708.05 and 509.62 is: 698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 708.05 = 509.62 : x
  2. Step 2: Convert to fraction form
    516.54/708.05 = 509.62/x
  3. Step 3: Cross multiply
    516.54x = 708.05 × 509.62
  4. Step 4: Simplify right side
    516.54x = 360,836.44
  5. Step 5: Solve for x
    x = 360,836.44/516.54
  6. Step 6: Final answer
    x = 698.56

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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.