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Finding the Fourth Proportional to 533.39, 736.09 and 323.63

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Solution

The fourth proportional to 533.39, 736.09 and 323.63 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.39 : 736.09 = 323.63 : x
  2. Step 2: Convert to fraction form
    533.39/736.09 = 323.63/x
  3. Step 3: Cross multiply
    533.39x = 736.09 × 323.63
  4. Step 4: Simplify right side
    533.39x = 238,219.08
  5. Step 5: Solve for x
    x = 238,219.08/533.39
  6. Step 6: Final answer
    x = 446.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.