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Finding the Fourth Proportional to 1,163.78, 1,745.85 and 383.55

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Solution

The fourth proportional to 1,163.78, 1,745.85 and 383.55 is: 575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.78 : 1,745.85 = 383.55 : x
  2. Step 2: Convert to fraction form
    1,163.78/1,745.85 = 383.55/x
  3. Step 3: Cross multiply
    1,163.78x = 1,745.85 × 383.55
  4. Step 4: Simplify right side
    1,163.78x = 669,620.77
  5. Step 5: Solve for x
    x = 669,620.77/1,163.78
  6. Step 6: Final answer
    x = 575.39

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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.