Home / 1,498.41-2,247.69-402.78

Finding the Fourth Proportional to 1,498.41, 2,247.69 and 402.78

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Solution

The fourth proportional to 1,498.41, 2,247.69 and 402.78 is: 604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.41 : 2,247.69 = 402.78 : x
  2. Step 2: Convert to fraction form
    1,498.41/2,247.69 = 402.78/x
  3. Step 3: Cross multiply
    1,498.41x = 2,247.69 × 402.78
  4. Step 4: Simplify right side
    1,498.41x = 905,324.58
  5. Step 5: Solve for x
    x = 905,324.58/1,498.41
  6. Step 6: Final answer
    x = 604.19

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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.