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Finding the Fourth Proportional to 2,450.50, 3,675.75 and 626.50

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Solution

The fourth proportional to 2,450.50, 3,675.75 and 626.50 is: 939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.50 : 3,675.75 = 626.50 : x
  2. Step 2: Convert to fraction form
    2,450.50/3,675.75 = 626.50/x
  3. Step 3: Cross multiply
    2,450.50x = 3,675.75 × 626.50
  4. Step 4: Simplify right side
    2,450.50x = 2,302,857.38
  5. Step 5: Solve for x
    x = 2,302,857.38/2,450.50
  6. Step 6: Final answer
    x = 939.75

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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.