Home / 1,224.38-1,836.40-402.56

Finding the Fourth Proportional to 1,224.38, 1,836.40 and 402.56

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Solution

The fourth proportional to 1,224.38, 1,836.40 and 402.56 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.38 : 1,836.40 = 402.56 : x
  2. Step 2: Convert to fraction form
    1,224.38/1,836.40 = 402.56/x
  3. Step 3: Cross multiply
    1,224.38x = 1,836.40 × 402.56
  4. Step 4: Simplify right side
    1,224.38x = 739,261.18
  5. Step 5: Solve for x
    x = 739,261.18/1,224.38
  6. Step 6: Final answer
    x = 603.78

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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.