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Finding the Fourth Proportional to 1,446.42, 2,169.59 and 406.43

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Solution

The fourth proportional to 1,446.42, 2,169.59 and 406.43 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.42 : 2,169.59 = 406.43 : x
  2. Step 2: Convert to fraction form
    1,446.42/2,169.59 = 406.43/x
  3. Step 3: Cross multiply
    1,446.42x = 2,169.59 × 406.43
  4. Step 4: Simplify right side
    1,446.42x = 881,773.58
  5. Step 5: Solve for x
    x = 881,773.58/1,446.42
  6. Step 6: Final answer
    x = 609.62

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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.