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Finding the Fourth Proportional to 1,099.79, 1,649.92 and 406.46

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Solution

The fourth proportional to 1,099.79, 1,649.92 and 406.46 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.79 : 1,649.92 = 406.46 : x
  2. Step 2: Convert to fraction form
    1,099.79/1,649.92 = 406.46/x
  3. Step 3: Cross multiply
    1,099.79x = 1,649.92 × 406.46
  4. Step 4: Simplify right side
    1,099.79x = 670,626.48
  5. Step 5: Solve for x
    x = 670,626.48/1,099.79
  6. Step 6: Final answer
    x = 609.78

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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.