Home / 1,498.36-2,247.60-402.82

Finding the Fourth Proportional to 1,498.36, 2,247.60 and 402.82

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Solution

The fourth proportional to 1,498.36, 2,247.60 and 402.82 is: 604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.36 : 2,247.60 = 402.82 : x
  2. Step 2: Convert to fraction form
    1,498.36/2,247.60 = 402.82/x
  3. Step 3: Cross multiply
    1,498.36x = 2,247.60 × 402.82
  4. Step 4: Simplify right side
    1,498.36x = 905,378.23
  5. Step 5: Solve for x
    x = 905,378.23/1,498.36
  6. Step 6: Final answer
    x = 604.25

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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.