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Finding the Fourth Proportional to 1,635.88, 2,453.78 and 403.28

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Solution

The fourth proportional to 1,635.88, 2,453.78 and 403.28 is: 604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.88 : 2,453.78 = 403.28 : x
  2. Step 2: Convert to fraction form
    1,635.88/2,453.78 = 403.28/x
  3. Step 3: Cross multiply
    1,635.88x = 2,453.78 × 403.28
  4. Step 4: Simplify right side
    1,635.88x = 989,560.40
  5. Step 5: Solve for x
    x = 989,560.40/1,635.88
  6. Step 6: Final answer
    x = 604.91

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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.