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Finding the Fourth Proportional to 722.98, 996.90 and 513.22

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Solution

The fourth proportional to 722.98, 996.90 and 513.22 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.98 : 996.90 = 513.22 : x
  2. Step 2: Convert to fraction form
    722.98/996.90 = 513.22/x
  3. Step 3: Cross multiply
    722.98x = 996.90 × 513.22
  4. Step 4: Simplify right side
    722.98x = 511,629.02
  5. Step 5: Solve for x
    x = 511,629.02/722.98
  6. Step 6: Final answer
    x = 707.67

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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.