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Finding the Fourth Proportional to 533.97, 736.94 and 324.21

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Solution

The fourth proportional to 533.97, 736.94 and 324.21 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 736.94 = 324.21 : x
  2. Step 2: Convert to fraction form
    533.97/736.94 = 324.21/x
  3. Step 3: Cross multiply
    533.97x = 736.94 × 324.21
  4. Step 4: Simplify right side
    533.97x = 238,924.13
  5. Step 5: Solve for x
    x = 238,924.13/533.97
  6. Step 6: Final answer
    x = 447.45

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1.5x scale

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.