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Finding the Fourth Proportional to 1,297.01, 1,791.14 and 1,109.42

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Solution

The fourth proportional to 1,297.01, 1,791.14 and 1,109.42 is: 1,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.01 : 1,791.14 = 1,109.42 : x
  2. Step 2: Convert to fraction form
    1,297.01/1,791.14 = 1,109.42/x
  3. Step 3: Cross multiply
    1,297.01x = 1,791.14 × 1,109.42
  4. Step 4: Simplify right side
    1,297.01x = 1,987,112.04
  5. Step 5: Solve for x
    x = 1,987,112.04/1,297.01
  6. Step 6: Final answer
    x = 1,532.08

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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.