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Finding the Fourth Proportional to 1,333.22, 2,000.08 and 408.61

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Solution

The fourth proportional to 1,333.22, 2,000.08 and 408.61 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.22 : 2,000.08 = 408.61 : x
  2. Step 2: Convert to fraction form
    1,333.22/2,000.08 = 408.61/x
  3. Step 3: Cross multiply
    1,333.22x = 2,000.08 × 408.61
  4. Step 4: Simplify right side
    1,333.22x = 817,253.02
  5. Step 5: Solve for x
    x = 817,253.02/1,333.22
  6. Step 6: Final answer
    x = 612.99

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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.