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Finding the Fourth Proportional to 1,446.28, 2,168.97 and 521.72

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Solution

The fourth proportional to 1,446.28, 2,168.97 and 521.72 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.28 : 2,168.97 = 521.72 : x
  2. Step 2: Convert to fraction form
    1,446.28/2,168.97 = 521.72/x
  3. Step 3: Cross multiply
    1,446.28x = 2,168.97 × 521.72
  4. Step 4: Simplify right side
    1,446.28x = 1,131,595.34
  5. Step 5: Solve for x
    x = 1,131,595.34/1,446.28
  6. Step 6: Final answer
    x = 782.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.