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Finding the Fourth Proportional to 1,099.90, 1,649.94 and 406.57

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Solution

The fourth proportional to 1,099.90, 1,649.94 and 406.57 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.90 : 1,649.94 = 406.57 : x
  2. Step 2: Convert to fraction form
    1,099.90/1,649.94 = 406.57/x
  3. Step 3: Cross multiply
    1,099.90x = 1,649.94 × 406.57
  4. Step 4: Simplify right side
    1,099.90x = 670,816.98
  5. Step 5: Solve for x
    x = 670,816.98/1,099.90
  6. Step 6: Final answer
    x = 609.89

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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.