Home / 1,022.11-1,411.80-889.07

Finding the Fourth Proportional to 1,022.11, 1,411.80 and 889.07

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Solution

The fourth proportional to 1,022.11, 1,411.80 and 889.07 is: 1,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.11 : 1,411.80 = 889.07 : x
  2. Step 2: Convert to fraction form
    1,022.11/1,411.80 = 889.07/x
  3. Step 3: Cross multiply
    1,022.11x = 1,411.80 × 889.07
  4. Step 4: Simplify right side
    1,022.11x = 1,255,181.97
  5. Step 5: Solve for x
    x = 1,255,181.97/1,022.11
  6. Step 6: Final answer
    x = 1,228.03

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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.