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Finding the Fourth Proportional to 1,419, 1,958.25 and 798

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Solution

The fourth proportional to 1,419, 1,958.25 and 798 is: 1,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 1,958.25 = 798 : x
  2. Step 2: Convert to fraction form
    1,419/1,958.25 = 798/x
  3. Step 3: Cross multiply
    1,419x = 1,958.25 × 798
  4. Step 4: Simplify right side
    1,419x = 1,562,683.50
  5. Step 5: Solve for x
    x = 1,562,683.50/1,419
  6. Step 6: Final answer
    x = 1,101.26

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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.