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Finding the Fourth Proportional to 1,333.36, 1,999.97 and 408.92

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Solution

The fourth proportional to 1,333.36, 1,999.97 and 408.92 is: 613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.36 : 1,999.97 = 408.92 : x
  2. Step 2: Convert to fraction form
    1,333.36/1,999.97 = 408.92/x
  3. Step 3: Cross multiply
    1,333.36x = 1,999.97 × 408.92
  4. Step 4: Simplify right side
    1,333.36x = 817,818.19
  5. Step 5: Solve for x
    x = 817,818.19/1,333.36
  6. Step 6: Final answer
    x = 613.35

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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.