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Finding the Fourth Proportional to 2,450.98, 3,676.54 and 602.09

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Solution

The fourth proportional to 2,450.98, 3,676.54 and 602.09 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.98 : 3,676.54 = 602.09 : x
  2. Step 2: Convert to fraction form
    2,450.98/3,676.54 = 602.09/x
  3. Step 3: Cross multiply
    2,450.98x = 3,676.54 × 602.09
  4. Step 4: Simplify right side
    2,450.98x = 2,213,607.97
  5. Step 5: Solve for x
    x = 2,213,607.97/2,450.98
  6. Step 6: Final answer
    x = 903.15

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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.