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Finding the Fourth Proportional to 1,415.51, 2,119.44 and 798.29

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Solution

The fourth proportional to 1,415.51, 2,119.44 and 798.29 is: 1,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.51 : 2,119.44 = 798.29 : x
  2. Step 2: Convert to fraction form
    1,415.51/2,119.44 = 798.29/x
  3. Step 3: Cross multiply
    1,415.51x = 2,119.44 × 798.29
  4. Step 4: Simplify right side
    1,415.51x = 1,691,917.16
  5. Step 5: Solve for x
    x = 1,691,917.16/1,415.51
  6. Step 6: Final answer
    x = 1,195.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.