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Finding the Fourth Proportional to 1,745.24, 2,617.95 and 879.26

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Solution

The fourth proportional to 1,745.24, 2,617.95 and 879.26 is: 1,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.24 : 2,617.95 = 879.26 : x
  2. Step 2: Convert to fraction form
    1,745.24/2,617.95 = 879.26/x
  3. Step 3: Cross multiply
    1,745.24x = 2,617.95 × 879.26
  4. Step 4: Simplify right side
    1,745.24x = 2,301,858.72
  5. Step 5: Solve for x
    x = 2,301,858.72/1,745.24
  6. Step 6: Final answer
    x = 1,318.94

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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.