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Finding the Fourth Proportional to 1,099.66, 1,649.16 and 406.40

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Solution

The fourth proportional to 1,099.66, 1,649.16 and 406.40 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.66 : 1,649.16 = 406.40 : x
  2. Step 2: Convert to fraction form
    1,099.66/1,649.16 = 406.40/x
  3. Step 3: Cross multiply
    1,099.66x = 1,649.16 × 406.40
  4. Step 4: Simplify right side
    1,099.66x = 670,218.62
  5. Step 5: Solve for x
    x = 670,218.62/1,099.66
  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.