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Finding the Fourth Proportional to 1,099.37, 1,649.25 and 406.53

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Solution

The fourth proportional to 1,099.37, 1,649.25 and 406.53 is: 609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.37 : 1,649.25 = 406.53 : x
  2. Step 2: Convert to fraction form
    1,099.37/1,649.25 = 406.53/x
  3. Step 3: Cross multiply
    1,099.37x = 1,649.25 × 406.53
  4. Step 4: Simplify right side
    1,099.37x = 670,471.35
  5. Step 5: Solve for x
    x = 670,471.35/1,099.37
  6. Step 6: Final answer
    x = 609.87

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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.