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Finding the Fourth Proportional to 1,419.90, 1,958.90 and 822.27

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Solution

The fourth proportional to 1,419.90, 1,958.90 and 822.27 is: 1,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.90 : 1,958.90 = 822.27 : x
  2. Step 2: Convert to fraction form
    1,419.90/1,958.90 = 822.27/x
  3. Step 3: Cross multiply
    1,419.90x = 1,958.90 × 822.27
  4. Step 4: Simplify right side
    1,419.90x = 1,610,747.94
  5. Step 5: Solve for x
    x = 1,610,747.94/1,419.90
  6. Step 6: Final answer
    x = 1,134.41

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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.