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Finding the Fourth Proportional to 1,099.46, 1,649.88 and 450.20

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Solution

The fourth proportional to 1,099.46, 1,649.88 and 450.20 is: 675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.46 : 1,649.88 = 450.20 : x
  2. Step 2: Convert to fraction form
    1,099.46/1,649.88 = 450.20/x
  3. Step 3: Cross multiply
    1,099.46x = 1,649.88 × 450.20
  4. Step 4: Simplify right side
    1,099.46x = 742,775.98
  5. Step 5: Solve for x
    x = 742,775.98/1,099.46
  6. Step 6: Final answer
    x = 675.58

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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.