Home / 1,224.30-1,836.67-402.80

Finding the Fourth Proportional to 1,224.30, 1,836.67 and 402.80

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Solution

The fourth proportional to 1,224.30, 1,836.67 and 402.80 is: 604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.30 : 1,836.67 = 402.80 : x
  2. Step 2: Convert to fraction form
    1,224.30/1,836.67 = 402.80/x
  3. Step 3: Cross multiply
    1,224.30x = 1,836.67 × 402.80
  4. Step 4: Simplify right side
    1,224.30x = 739,810.68
  5. Step 5: Solve for x
    x = 739,810.68/1,224.30
  6. Step 6: Final answer
    x = 604.27

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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.