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Finding the Fourth Proportional to 722.36, 995.82 and 515

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Solution

The fourth proportional to 722.36, 995.82 and 515 is: 709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 995.82 = 515 : x
  2. Step 2: Convert to fraction form
    722.36/995.82 = 515/x
  3. Step 3: Cross multiply
    722.36x = 995.82 × 515
  4. Step 4: Simplify right side
    722.36x = 512,847.30
  5. Step 5: Solve for x
    x = 512,847.30/722.36
  6. Step 6: Final answer
    x = 709.96

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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.