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Finding the Fourth Proportional to 1,394.64, 2,092.68 and 745.32

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Solution

The fourth proportional to 1,394.64, 2,092.68 and 745.32 is: 1,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.64 : 2,092.68 = 745.32 : x
  2. Step 2: Convert to fraction form
    1,394.64/2,092.68 = 745.32/x
  3. Step 3: Cross multiply
    1,394.64x = 2,092.68 × 745.32
  4. Step 4: Simplify right side
    1,394.64x = 1,559,716.26
  5. Step 5: Solve for x
    x = 1,559,716.26/1,394.64
  6. Step 6: Final answer
    x = 1,118.36

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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.