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Finding the Fourth Proportional to 1,194.15, 1,647.43 and 745.75

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Solution

The fourth proportional to 1,194.15, 1,647.43 and 745.75 is: 1,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.15 : 1,647.43 = 745.75 : x
  2. Step 2: Convert to fraction form
    1,194.15/1,647.43 = 745.75/x
  3. Step 3: Cross multiply
    1,194.15x = 1,647.43 × 745.75
  4. Step 4: Simplify right side
    1,194.15x = 1,228,570.92
  5. Step 5: Solve for x
    x = 1,228,570.92/1,194.15
  6. Step 6: Final answer
    x = 1,028.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.