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Finding the Fourth Proportional to 725.54, 999.90 and 515.72

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Solution

The fourth proportional to 725.54, 999.90 and 515.72 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.54 : 999.90 = 515.72 : x
  2. Step 2: Convert to fraction form
    725.54/999.90 = 515.72/x
  3. Step 3: Cross multiply
    725.54x = 999.90 × 515.72
  4. Step 4: Simplify right side
    725.54x = 515,668.43
  5. Step 5: Solve for x
    x = 515,668.43/725.54
  6. Step 6: Final answer
    x = 710.74

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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.