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Finding the Fourth Proportional to 940.94, 1,411.86 and 453.72

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Solution

The fourth proportional to 940.94, 1,411.86 and 453.72 is: 680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.94 : 1,411.86 = 453.72 : x
  2. Step 2: Convert to fraction form
    940.94/1,411.86 = 453.72/x
  3. Step 3: Cross multiply
    940.94x = 1,411.86 × 453.72
  4. Step 4: Simplify right side
    940.94x = 640,589.12
  5. Step 5: Solve for x
    x = 640,589.12/940.94
  6. Step 6: Final answer
    x = 680.80

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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.