Home / 1,446.39-2,169.40-406.47

Finding the Fourth Proportional to 1,446.39, 2,169.40 and 406.47

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Solution

The fourth proportional to 1,446.39, 2,169.40 and 406.47 is: 609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.39 : 2,169.40 = 406.47 : x
  2. Step 2: Convert to fraction form
    1,446.39/2,169.40 = 406.47/x
  3. Step 3: Cross multiply
    1,446.39x = 2,169.40 × 406.47
  4. Step 4: Simplify right side
    1,446.39x = 881,796.02
  5. Step 5: Solve for x
    x = 881,796.02/1,446.39
  6. Step 6: Final answer
    x = 609.65

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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.