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Finding the Fourth Proportional to 1,409.50, 1,945.20 and 936.58

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Solution

The fourth proportional to 1,409.50, 1,945.20 and 936.58 is: 1,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.50 : 1,945.20 = 936.58 : x
  2. Step 2: Convert to fraction form
    1,409.50/1,945.20 = 936.58/x
  3. Step 3: Cross multiply
    1,409.50x = 1,945.20 × 936.58
  4. Step 4: Simplify right side
    1,409.50x = 1,821,835.42
  5. Step 5: Solve for x
    x = 1,821,835.42/1,409.50
  6. Step 6: Final answer
    x = 1,292.54

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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.