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Finding the Fourth Proportional to 2,450.06, 3,675 and 601.18

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Solution

The fourth proportional to 2,450.06, 3,675 and 601.18 is: 901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.06 : 3,675 = 601.18 : x
  2. Step 2: Convert to fraction form
    2,450.06/3,675 = 601.18/x
  3. Step 3: Cross multiply
    2,450.06x = 3,675 × 601.18
  4. Step 4: Simplify right side
    2,450.06x = 2,209,336.50
  5. Step 5: Solve for x
    x = 2,209,336.50/2,450.06
  6. Step 6: Final answer
    x = 901.75

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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.