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Finding the Fourth Proportional to 1,334.70, 2,001.96 and 410.19

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Solution

The fourth proportional to 1,334.70, 2,001.96 and 410.19 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.70 : 2,001.96 = 410.19 : x
  2. Step 2: Convert to fraction form
    1,334.70/2,001.96 = 410.19/x
  3. Step 3: Cross multiply
    1,334.70x = 2,001.96 × 410.19
  4. Step 4: Simplify right side
    1,334.70x = 821,183.97
  5. Step 5: Solve for x
    x = 821,183.97/1,334.70
  6. Step 6: Final answer
    x = 615.26

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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.