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Finding the Fourth Proportional to 533.97, 733.19 and 450.75

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Solution

The fourth proportional to 533.97, 733.19 and 450.75 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 733.19 = 450.75 : x
  2. Step 2: Convert to fraction form
    533.97/733.19 = 450.75/x
  3. Step 3: Cross multiply
    533.97x = 733.19 × 450.75
  4. Step 4: Simplify right side
    533.97x = 330,483.14
  5. Step 5: Solve for x
    x = 330,483.14/533.97
  6. Step 6: Final answer
    x = 618.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.