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Finding the Fourth Proportional to 1,188.33, 1,639.13 and 745.85

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Solution

The fourth proportional to 1,188.33, 1,639.13 and 745.85 is: 1,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.33 : 1,639.13 = 745.85 : x
  2. Step 2: Convert to fraction form
    1,188.33/1,639.13 = 745.85/x
  3. Step 3: Cross multiply
    1,188.33x = 1,639.13 × 745.85
  4. Step 4: Simplify right side
    1,188.33x = 1,222,533.19
  5. Step 5: Solve for x
    x = 1,222,533.19/1,188.33
  6. Step 6: Final answer
    x = 1,028.78

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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.