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Finding the Fourth Proportional to 2,603.75, 3,905.82 and 755.33

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Solution

The fourth proportional to 2,603.75, 3,905.82 and 755.33 is: 1,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.75 : 3,905.82 = 755.33 : x
  2. Step 2: Convert to fraction form
    2,603.75/3,905.82 = 755.33/x
  3. Step 3: Cross multiply
    2,603.75x = 3,905.82 × 755.33
  4. Step 4: Simplify right side
    2,603.75x = 2,950,163.49
  5. Step 5: Solve for x
    x = 2,950,163.49/2,603.75
  6. Step 6: Final answer
    x = 1,133.05

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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.