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Finding the Fourth Proportional to 533.19, 735.99 and 450.74

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Solution

The fourth proportional to 533.19, 735.99 and 450.74 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.19 : 735.99 = 450.74 : x
  2. Step 2: Convert to fraction form
    533.19/735.99 = 450.74/x
  3. Step 3: Cross multiply
    533.19x = 735.99 × 450.74
  4. Step 4: Simplify right side
    533.19x = 331,736.45
  5. Step 5: Solve for x
    x = 331,736.45/533.19
  6. Step 6: Final answer
    x = 622.17

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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.