Home / 1,109.45-1,529.89-829.26

Finding the Fourth Proportional to 1,109.45, 1,529.89 and 829.26

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Solution

The fourth proportional to 1,109.45, 1,529.89 and 829.26 is: 1,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.45 : 1,529.89 = 829.26 : x
  2. Step 2: Convert to fraction form
    1,109.45/1,529.89 = 829.26/x
  3. Step 3: Cross multiply
    1,109.45x = 1,529.89 × 829.26
  4. Step 4: Simplify right side
    1,109.45x = 1,268,674.51
  5. Step 5: Solve for x
    x = 1,268,674.51/1,109.45
  6. Step 6: Final answer
    x = 1,143.51

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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.