Home / 1,113.44-1,669.82-419.60

Finding the Fourth Proportional to 1,113.44, 1,669.82 and 419.60

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Solution

The fourth proportional to 1,113.44, 1,669.82 and 419.60 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.44 : 1,669.82 = 419.60 : x
  2. Step 2: Convert to fraction form
    1,113.44/1,669.82 = 419.60/x
  3. Step 3: Cross multiply
    1,113.44x = 1,669.82 × 419.60
  4. Step 4: Simplify right side
    1,113.44x = 700,646.02
  5. Step 5: Solve for x
    x = 700,646.02/1,113.44
  6. Step 6: Final answer
    x = 629.27

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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.