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Finding the Fourth Proportional to 736.80, 996.60 and 736.80

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Solution

The fourth proportional to 736.80, 996.60 and 736.80 is: 996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 996.60 = 736.80 : x
  2. Step 2: Convert to fraction form
    736.80/996.60 = 736.80/x
  3. Step 3: Cross multiply
    736.80x = 996.60 × 736.80
  4. Step 4: Simplify right side
    736.80x = 734,294.88
  5. Step 5: Solve for x
    x = 734,294.88/736.80
  6. Step 6: Final answer
    x = 996.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.