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Finding the Fourth Proportional to 939.96, 1,409.59 and 323.50

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Solution

The fourth proportional to 939.96, 1,409.59 and 323.50 is: 485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.96 : 1,409.59 = 323.50 : x
  2. Step 2: Convert to fraction form
    939.96/1,409.59 = 323.50/x
  3. Step 3: Cross multiply
    939.96x = 1,409.59 × 323.50
  4. Step 4: Simplify right side
    939.96x = 456,002.37
  5. Step 5: Solve for x
    x = 456,002.37/939.96
  6. Step 6: Final answer
    x = 485.13

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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.