Home / 1,100.24-1,649.80-450.64

Finding the Fourth Proportional to 1,100.24, 1,649.80 and 450.64

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Solution

The fourth proportional to 1,100.24, 1,649.80 and 450.64 is: 675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.24 : 1,649.80 = 450.64 : x
  2. Step 2: Convert to fraction form
    1,100.24/1,649.80 = 450.64/x
  3. Step 3: Cross multiply
    1,100.24x = 1,649.80 × 450.64
  4. Step 4: Simplify right side
    1,100.24x = 743,465.87
  5. Step 5: Solve for x
    x = 743,465.87/1,100.24
  6. Step 6: Final answer
    x = 675.73

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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.