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Finding the Fourth Proportional to 997.19, 1,375.38 and 879.06

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Solution

The fourth proportional to 997.19, 1,375.38 and 879.06 is: 1,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.19 : 1,375.38 = 879.06 : x
  2. Step 2: Convert to fraction form
    997.19/1,375.38 = 879.06/x
  3. Step 3: Cross multiply
    997.19x = 1,375.38 × 879.06
  4. Step 4: Simplify right side
    997.19x = 1,209,041.54
  5. Step 5: Solve for x
    x = 1,209,041.54/997.19
  6. Step 6: Final answer
    x = 1,212.45

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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.