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Finding the Fourth Proportional to 1,100.12, 1,649.64 and 450.50

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Solution

The fourth proportional to 1,100.12, 1,649.64 and 450.50 is: 675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.12 : 1,649.64 = 450.50 : x
  2. Step 2: Convert to fraction form
    1,100.12/1,649.64 = 450.50/x
  3. Step 3: Cross multiply
    1,100.12x = 1,649.64 × 450.50
  4. Step 4: Simplify right side
    1,100.12x = 743,162.82
  5. Step 5: Solve for x
    x = 743,162.82/1,100.12
  6. Step 6: Final answer
    x = 675.53

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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.