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Finding the Fourth Proportional to 2,284.75, 3,427.67 and 745.75

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Solution

The fourth proportional to 2,284.75, 3,427.67 and 745.75 is: 1,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.75 : 3,427.67 = 745.75 : x
  2. Step 2: Convert to fraction form
    2,284.75/3,427.67 = 745.75/x
  3. Step 3: Cross multiply
    2,284.75x = 3,427.67 × 745.75
  4. Step 4: Simplify right side
    2,284.75x = 2,556,184.90
  5. Step 5: Solve for x
    x = 2,556,184.90/2,284.75
  6. Step 6: Final answer
    x = 1,118.80

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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.