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Finding the Fourth Proportional to 945.36, 1,407.44 and 940.80

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Solution

The fourth proportional to 945.36, 1,407.44 and 940.80 is: 1,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.36 : 1,407.44 = 940.80 : x
  2. Step 2: Convert to fraction form
    945.36/1,407.44 = 940.80/x
  3. Step 3: Cross multiply
    945.36x = 1,407.44 × 940.80
  4. Step 4: Simplify right side
    945.36x = 1,324,119.55
  5. Step 5: Solve for x
    x = 1,324,119.55/945.36
  6. Step 6: Final answer
    x = 1,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.