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Finding the Fourth Proportional to 1,720.36, 2,375.58 and 1,198

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Solution

The fourth proportional to 1,720.36, 2,375.58 and 1,198 is: 1,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.36 : 2,375.58 = 1,198 : x
  2. Step 2: Convert to fraction form
    1,720.36/2,375.58 = 1,198/x
  3. Step 3: Cross multiply
    1,720.36x = 2,375.58 × 1,198
  4. Step 4: Simplify right side
    1,720.36x = 2,845,944.84
  5. Step 5: Solve for x
    x = 2,845,944.84/1,720.36
  6. Step 6: Final answer
    x = 1,654.27

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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.