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Finding the Fourth Proportional to 723.11, 996.85 and 515.75

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Solution

The fourth proportional to 723.11, 996.85 and 515.75 is: 710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.11 : 996.85 = 515.75 : x
  2. Step 2: Convert to fraction form
    723.11/996.85 = 515.75/x
  3. Step 3: Cross multiply
    723.11x = 996.85 × 515.75
  4. Step 4: Simplify right side
    723.11x = 514,125.39
  5. Step 5: Solve for x
    x = 514,125.39/723.11
  6. Step 6: Final answer
    x = 710.99

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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.