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Finding the Fourth Proportional to 1,328.44, 1,993.69 and 920.44

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Solution

The fourth proportional to 1,328.44, 1,993.69 and 920.44 is: 1,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.44 : 1,993.69 = 920.44 : x
  2. Step 2: Convert to fraction form
    1,328.44/1,993.69 = 920.44/x
  3. Step 3: Cross multiply
    1,328.44x = 1,993.69 × 920.44
  4. Step 4: Simplify right side
    1,328.44x = 1,835,062.06
  5. Step 5: Solve for x
    x = 1,835,062.06/1,328.44
  6. Step 6: Final answer
    x = 1,381.37

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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.