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Finding the Fourth Proportional to 1,227.74, 1,841.43 and 406.04

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Solution

The fourth proportional to 1,227.74, 1,841.43 and 406.04 is: 609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.74 : 1,841.43 = 406.04 : x
  2. Step 2: Convert to fraction form
    1,227.74/1,841.43 = 406.04/x
  3. Step 3: Cross multiply
    1,227.74x = 1,841.43 × 406.04
  4. Step 4: Simplify right side
    1,227.74x = 747,694.24
  5. Step 5: Solve for x
    x = 747,694.24/1,227.74
  6. Step 6: Final answer
    x = 609.00

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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.