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Finding the Fourth Proportional to 1,389.32, 2,083.97 and 363.32

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Solution

The fourth proportional to 1,389.32, 2,083.97 and 363.32 is: 544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.32 : 2,083.97 = 363.32 : x
  2. Step 2: Convert to fraction form
    1,389.32/2,083.97 = 363.32/x
  3. Step 3: Cross multiply
    1,389.32x = 2,083.97 × 363.32
  4. Step 4: Simplify right side
    1,389.32x = 757,137.56
  5. Step 5: Solve for x
    x = 757,137.56/1,389.32
  6. Step 6: Final answer
    x = 544.97

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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.