Home / 1,109.43-1,664.37-460.26

Finding the Fourth Proportional to 1,109.43, 1,664.37 and 460.26

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Solution

The fourth proportional to 1,109.43, 1,664.37 and 460.26 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.43 : 1,664.37 = 460.26 : x
  2. Step 2: Convert to fraction form
    1,109.43/1,664.37 = 460.26/x
  3. Step 3: Cross multiply
    1,109.43x = 1,664.37 × 460.26
  4. Step 4: Simplify right side
    1,109.43x = 766,042.94
  5. Step 5: Solve for x
    x = 766,042.94/1,109.43
  6. Step 6: Final answer
    x = 690.48

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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.