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Finding the Fourth Proportional to 997.10, 1,375.84 and 577.49

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Solution

The fourth proportional to 997.10, 1,375.84 and 577.49 is: 796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.10 : 1,375.84 = 577.49 : x
  2. Step 2: Convert to fraction form
    997.10/1,375.84 = 577.49/x
  3. Step 3: Cross multiply
    997.10x = 1,375.84 × 577.49
  4. Step 4: Simplify right side
    997.10x = 794,533.12
  5. Step 5: Solve for x
    x = 794,533.12/997.10
  6. Step 6: Final answer
    x = 796.84

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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.