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Finding the Fourth Proportional to 1,333.66, 1,999.89 and 409.33

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Solution

The fourth proportional to 1,333.66, 1,999.89 and 409.33 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.66 : 1,999.89 = 409.33 : x
  2. Step 2: Convert to fraction form
    1,333.66/1,999.89 = 409.33/x
  3. Step 3: Cross multiply
    1,333.66x = 1,999.89 × 409.33
  4. Step 4: Simplify right side
    1,333.66x = 818,614.97
  5. Step 5: Solve for x
    x = 818,614.97/1,333.66
  6. Step 6: Final answer
    x = 613.81

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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.