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Finding the Fourth Proportional to 1,100.06, 1,649.66 and 450.58

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Solution

The fourth proportional to 1,100.06, 1,649.66 and 450.58 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.06 : 1,649.66 = 450.58 : x
  2. Step 2: Convert to fraction form
    1,100.06/1,649.66 = 450.58/x
  3. Step 3: Cross multiply
    1,100.06x = 1,649.66 × 450.58
  4. Step 4: Simplify right side
    1,100.06x = 743,303.80
  5. Step 5: Solve for x
    x = 743,303.80/1,100.06
  6. Step 6: Final answer
    x = 675.69

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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.