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Finding the Fourth Proportional to 533.56, 735.96 and 323.80

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Solution

The fourth proportional to 533.56, 735.96 and 323.80 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.56 : 735.96 = 323.80 : x
  2. Step 2: Convert to fraction form
    533.56/735.96 = 323.80/x
  3. Step 3: Cross multiply
    533.56x = 735.96 × 323.80
  4. Step 4: Simplify right side
    533.56x = 238,303.85
  5. Step 5: Solve for x
    x = 238,303.85/533.56
  6. Step 6: Final answer
    x = 446.63

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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.