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Finding the Fourth Proportional to 1,099.44, 1,649.27 and 406.29

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Solution

The fourth proportional to 1,099.44, 1,649.27 and 406.29 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.44 : 1,649.27 = 406.29 : x
  2. Step 2: Convert to fraction form
    1,099.44/1,649.27 = 406.29/x
  3. Step 3: Cross multiply
    1,099.44x = 1,649.27 × 406.29
  4. Step 4: Simplify right side
    1,099.44x = 670,081.91
  5. Step 5: Solve for x
    x = 670,081.91/1,099.44
  6. Step 6: Final answer
    x = 609.48

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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.