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Finding the Fourth Proportional to 996.96, 1,375.74 and 577.32

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Solution

The fourth proportional to 996.96, 1,375.74 and 577.32 is: 796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.96 : 1,375.74 = 577.32 : x
  2. Step 2: Convert to fraction form
    996.96/1,375.74 = 577.32/x
  3. Step 3: Cross multiply
    996.96x = 1,375.74 × 577.32
  4. Step 4: Simplify right side
    996.96x = 794,242.22
  5. Step 5: Solve for x
    x = 794,242.22/996.96
  6. Step 6: Final answer
    x = 796.66

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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.