Home / 1,464.89-2,022.26-905.49

Finding the Fourth Proportional to 1,464.89, 2,022.26 and 905.49

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Solution

The fourth proportional to 1,464.89, 2,022.26 and 905.49 is: 1,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.89 : 2,022.26 = 905.49 : x
  2. Step 2: Convert to fraction form
    1,464.89/2,022.26 = 905.49/x
  3. Step 3: Cross multiply
    1,464.89x = 2,022.26 × 905.49
  4. Step 4: Simplify right side
    1,464.89x = 1,831,131.68
  5. Step 5: Solve for x
    x = 1,831,131.68/1,464.89
  6. Step 6: Final answer
    x = 1,250.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.