Home / 1,419.22-2,125.74-687.25

Finding the Fourth Proportional to 1,419.22, 2,125.74 and 687.25

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Solution

The fourth proportional to 1,419.22, 2,125.74 and 687.25 is: 1,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.22 : 2,125.74 = 687.25 : x
  2. Step 2: Convert to fraction form
    1,419.22/2,125.74 = 687.25/x
  3. Step 3: Cross multiply
    1,419.22x = 2,125.74 × 687.25
  4. Step 4: Simplify right side
    1,419.22x = 1,460,914.82
  5. Step 5: Solve for x
    x = 1,460,914.82/1,419.22
  6. Step 6: Final answer
    x = 1,029.38

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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.