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Finding the Fourth Proportional to 1,163.83, 1,745.40 and 341.85

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Solution

The fourth proportional to 1,163.83, 1,745.40 and 341.85 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.83 : 1,745.40 = 341.85 : x
  2. Step 2: Convert to fraction form
    1,163.83/1,745.40 = 341.85/x
  3. Step 3: Cross multiply
    1,163.83x = 1,745.40 × 341.85
  4. Step 4: Simplify right side
    1,163.83x = 596,664.99
  5. Step 5: Solve for x
    x = 596,664.99/1,163.83
  6. Step 6: Final answer
    x = 512.67

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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.