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Finding the Fourth Proportional to 940.25, 1,409.83 and 323.71

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Solution

The fourth proportional to 940.25, 1,409.83 and 323.71 is: 485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.25 : 1,409.83 = 323.71 : x
  2. Step 2: Convert to fraction form
    940.25/1,409.83 = 323.71/x
  3. Step 3: Cross multiply
    940.25x = 1,409.83 × 323.71
  4. Step 4: Simplify right side
    940.25x = 456,376.07
  5. Step 5: Solve for x
    x = 456,376.07/940.25
  6. Step 6: Final answer
    x = 485.38

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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.