Home / 1,222.14-1,833.59-400.42

Finding the Fourth Proportional to 1,222.14, 1,833.59 and 400.42

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Solution

The fourth proportional to 1,222.14, 1,833.59 and 400.42 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.14 : 1,833.59 = 400.42 : x
  2. Step 2: Convert to fraction form
    1,222.14/1,833.59 = 400.42/x
  3. Step 3: Cross multiply
    1,222.14x = 1,833.59 × 400.42
  4. Step 4: Simplify right side
    1,222.14x = 734,206.11
  5. Step 5: Solve for x
    x = 734,206.11/1,222.14
  6. Step 6: Final answer
    x = 600.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.