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Finding the Fourth Proportional to 1,410.42, 1,944.32 and 989.48

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Solution

The fourth proportional to 1,410.42, 1,944.32 and 989.48 is: 1,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.42 : 1,944.32 = 989.48 : x
  2. Step 2: Convert to fraction form
    1,410.42/1,944.32 = 989.48/x
  3. Step 3: Cross multiply
    1,410.42x = 1,944.32 × 989.48
  4. Step 4: Simplify right side
    1,410.42x = 1,923,865.75
  5. Step 5: Solve for x
    x = 1,923,865.75/1,410.42
  6. Step 6: Final answer
    x = 1,364.04

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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.