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Finding the Fourth Proportional to 1,408.07, 2,112.12 and 677.49

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Solution

The fourth proportional to 1,408.07, 2,112.12 and 677.49 is: 1,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.07 : 2,112.12 = 677.49 : x
  2. Step 2: Convert to fraction form
    1,408.07/2,112.12 = 677.49/x
  3. Step 3: Cross multiply
    1,408.07x = 2,112.12 × 677.49
  4. Step 4: Simplify right side
    1,408.07x = 1,430,940.18
  5. Step 5: Solve for x
    x = 1,430,940.18/1,408.07
  6. Step 6: Final answer
    x = 1,016.25

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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.