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Finding the Fourth Proportional to 1,409.54, 1,944.96 and 885.74

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Solution

The fourth proportional to 1,409.54, 1,944.96 and 885.74 is: 1,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.54 : 1,944.96 = 885.74 : x
  2. Step 2: Convert to fraction form
    1,409.54/1,944.96 = 885.74/x
  3. Step 3: Cross multiply
    1,409.54x = 1,944.96 × 885.74
  4. Step 4: Simplify right side
    1,409.54x = 1,722,728.87
  5. Step 5: Solve for x
    x = 1,722,728.87/1,409.54
  6. Step 6: Final answer
    x = 1,222.19

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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.