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Finding the Fourth Proportional to 1,334.82, 1,842.13 and 745.37

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Solution

The fourth proportional to 1,334.82, 1,842.13 and 745.37 is: 1,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.82 : 1,842.13 = 745.37 : x
  2. Step 2: Convert to fraction form
    1,334.82/1,842.13 = 745.37/x
  3. Step 3: Cross multiply
    1,334.82x = 1,842.13 × 745.37
  4. Step 4: Simplify right side
    1,334.82x = 1,373,068.44
  5. Step 5: Solve for x
    x = 1,373,068.44/1,334.82
  6. Step 6: Final answer
    x = 1,028.65

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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.