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Finding the Fourth Proportional to 1,163.78, 1,745.94 and 342.06

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Solution

The fourth proportional to 1,163.78, 1,745.94 and 342.06 is: 513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.78 : 1,745.94 = 342.06 : x
  2. Step 2: Convert to fraction form
    1,163.78/1,745.94 = 342.06/x
  3. Step 3: Cross multiply
    1,163.78x = 1,745.94 × 342.06
  4. Step 4: Simplify right side
    1,163.78x = 597,216.24
  5. Step 5: Solve for x
    x = 597,216.24/1,163.78
  6. Step 6: Final answer
    x = 513.17

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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.