Home / 1,223.97-1,836.18-402.29

Finding the Fourth Proportional to 1,223.97, 1,836.18 and 402.29

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Solution

The fourth proportional to 1,223.97, 1,836.18 and 402.29 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.97 : 1,836.18 = 402.29 : x
  2. Step 2: Convert to fraction form
    1,223.97/1,836.18 = 402.29/x
  3. Step 3: Cross multiply
    1,223.97x = 1,836.18 × 402.29
  4. Step 4: Simplify right side
    1,223.97x = 738,681.44
  5. Step 5: Solve for x
    x = 738,681.44/1,223.97
  6. Step 6: Final answer
    x = 603.51

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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.