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Finding the Fourth Proportional to 516.88, 708.41 and 509.68

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Solution

The fourth proportional to 516.88, 708.41 and 509.68 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 708.41 = 509.68 : x
  2. Step 2: Convert to fraction form
    516.88/708.41 = 509.68/x
  3. Step 3: Cross multiply
    516.88x = 708.41 × 509.68
  4. Step 4: Simplify right side
    516.88x = 361,062.41
  5. Step 5: Solve for x
    x = 361,062.41/516.88
  6. Step 6: Final answer
    x = 698.54

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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.