Home / 1,223.30-1,833.64-401.36

Finding the Fourth Proportional to 1,223.30, 1,833.64 and 401.36

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Solution

The fourth proportional to 1,223.30, 1,833.64 and 401.36 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.30 : 1,833.64 = 401.36 : x
  2. Step 2: Convert to fraction form
    1,223.30/1,833.64 = 401.36/x
  3. Step 3: Cross multiply
    1,223.30x = 1,833.64 × 401.36
  4. Step 4: Simplify right side
    1,223.30x = 735,949.75
  5. Step 5: Solve for x
    x = 735,949.75/1,223.30
  6. Step 6: Final answer
    x = 601.61

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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.