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Finding the Fourth Proportional to 1,419.13, 1,958.42 and 798.13

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Solution

The fourth proportional to 1,419.13, 1,958.42 and 798.13 is: 1,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.13 : 1,958.42 = 798.13 : x
  2. Step 2: Convert to fraction form
    1,419.13/1,958.42 = 798.13/x
  3. Step 3: Cross multiply
    1,419.13x = 1,958.42 × 798.13
  4. Step 4: Simplify right side
    1,419.13x = 1,563,073.75
  5. Step 5: Solve for x
    x = 1,563,073.75/1,419.13
  6. Step 6: Final answer
    x = 1,101.43

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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.