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Finding the Fourth Proportional to 945.75, 1,305.48 and 812.43

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Solution

The fourth proportional to 945.75, 1,305.48 and 812.43 is: 1,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.75 : 1,305.48 = 812.43 : x
  2. Step 2: Convert to fraction form
    945.75/1,305.48 = 812.43/x
  3. Step 3: Cross multiply
    945.75x = 1,305.48 × 812.43
  4. Step 4: Simplify right side
    945.75x = 1,060,611.12
  5. Step 5: Solve for x
    x = 1,060,611.12/945.75
  6. Step 6: Final answer
    x = 1,121.45

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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.