Home / 1,022.14-1,409.26-835.44

Finding the Fourth Proportional to 1,022.14, 1,409.26 and 835.44

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Solution

The fourth proportional to 1,022.14, 1,409.26 and 835.44 is: 1,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,409.26 = 835.44 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,409.26 = 835.44/x
  3. Step 3: Cross multiply
    1,022.14x = 1,409.26 × 835.44
  4. Step 4: Simplify right side
    1,022.14x = 1,177,352.17
  5. Step 5: Solve for x
    x = 1,177,352.17/1,022.14
  6. Step 6: Final answer
    x = 1,151.85

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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.