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Finding the Fourth Proportional to 1,408.72, 1,944.48 and 989.17

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Solution

The fourth proportional to 1,408.72, 1,944.48 and 989.17 is: 1,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.72 : 1,944.48 = 989.17 : x
  2. Step 2: Convert to fraction form
    1,408.72/1,944.48 = 989.17/x
  3. Step 3: Cross multiply
    1,408.72x = 1,944.48 × 989.17
  4. Step 4: Simplify right side
    1,408.72x = 1,923,422.82
  5. Step 5: Solve for x
    x = 1,923,422.82/1,408.72
  6. Step 6: Final answer
    x = 1,365.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.