Home / 2,288.31-3,430.90-727.84

Finding the Fourth Proportional to 2,288.31, 3,430.90 and 727.84

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Solution

The fourth proportional to 2,288.31, 3,430.90 and 727.84 is: 1,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.31 : 3,430.90 = 727.84 : x
  2. Step 2: Convert to fraction form
    2,288.31/3,430.90 = 727.84/x
  3. Step 3: Cross multiply
    2,288.31x = 3,430.90 × 727.84
  4. Step 4: Simplify right side
    2,288.31x = 2,497,146.26
  5. Step 5: Solve for x
    x = 2,497,146.26/2,288.31
  6. Step 6: Final answer
    x = 1,091.26

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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.