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Finding the Fourth Proportional to 940.94, 1,412.22 and 393.56

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Solution

The fourth proportional to 940.94, 1,412.22 and 393.56 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.94 : 1,412.22 = 393.56 : x
  2. Step 2: Convert to fraction form
    940.94/1,412.22 = 393.56/x
  3. Step 3: Cross multiply
    940.94x = 1,412.22 × 393.56
  4. Step 4: Simplify right side
    940.94x = 555,793.30
  5. Step 5: Solve for x
    x = 555,793.30/940.94
  6. Step 6: Final answer
    x = 590.68

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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.