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Finding the Fourth Proportional to 940.22, 1,410.33 and 323.92

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Solution

The fourth proportional to 940.22, 1,410.33 and 323.92 is: 485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.22 : 1,410.33 = 323.92 : x
  2. Step 2: Convert to fraction form
    940.22/1,410.33 = 323.92/x
  3. Step 3: Cross multiply
    940.22x = 1,410.33 × 323.92
  4. Step 4: Simplify right side
    940.22x = 456,834.09
  5. Step 5: Solve for x
    x = 456,834.09/940.22
  6. Step 6: Final answer
    x = 485.88

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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.