Home / 1,678.25-2,517.91-704.09

Finding the Fourth Proportional to 1,678.25, 2,517.91 and 704.09

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Solution

The fourth proportional to 1,678.25, 2,517.91 and 704.09 is: 1,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.25 : 2,517.91 = 704.09 : x
  2. Step 2: Convert to fraction form
    1,678.25/2,517.91 = 704.09/x
  3. Step 3: Cross multiply
    1,678.25x = 2,517.91 × 704.09
  4. Step 4: Simplify right side
    1,678.25x = 1,772,835.25
  5. Step 5: Solve for x
    x = 1,772,835.25/1,678.25
  6. Step 6: Final answer
    x = 1,056.36

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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.