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Finding the Fourth Proportional to 940.96, 1,411.80 and 453.97

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Solution

The fourth proportional to 940.96, 1,411.80 and 453.97 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.96 : 1,411.80 = 453.97 : x
  2. Step 2: Convert to fraction form
    940.96/1,411.80 = 453.97/x
  3. Step 3: Cross multiply
    940.96x = 1,411.80 × 453.97
  4. Step 4: Simplify right side
    940.96x = 640,914.85
  5. Step 5: Solve for x
    x = 640,914.85/940.96
  6. Step 6: Final answer
    x = 681.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.