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Finding the Fourth Proportional to 1,083.21, 1,624.38 and 389.75

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Solution

The fourth proportional to 1,083.21, 1,624.38 and 389.75 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.21 : 1,624.38 = 389.75 : x
  2. Step 2: Convert to fraction form
    1,083.21/1,624.38 = 389.75/x
  3. Step 3: Cross multiply
    1,083.21x = 1,624.38 × 389.75
  4. Step 4: Simplify right side
    1,083.21x = 633,093.98
  5. Step 5: Solve for x
    x = 633,093.98/1,083.21
  6. Step 6: Final answer
    x = 584.46

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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.