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Finding the Fourth Proportional to 1,486.67, 2,229.30 and 446.27

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Solution

The fourth proportional to 1,486.67, 2,229.30 and 446.27 is: 669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.67 : 2,229.30 = 446.27 : x
  2. Step 2: Convert to fraction form
    1,486.67/2,229.30 = 446.27/x
  3. Step 3: Cross multiply
    1,486.67x = 2,229.30 × 446.27
  4. Step 4: Simplify right side
    1,486.67x = 994,858.56
  5. Step 5: Solve for x
    x = 994,858.56/1,486.67
  6. Step 6: Final answer
    x = 669.19

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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.