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Finding the Fourth Proportional to 533.24, 796.21 and 423.80

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Solution

The fourth proportional to 533.24, 796.21 and 423.80 is: 632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.24 : 796.21 = 423.80 : x
  2. Step 2: Convert to fraction form
    533.24/796.21 = 423.80/x
  3. Step 3: Cross multiply
    533.24x = 796.21 × 423.80
  4. Step 4: Simplify right side
    533.24x = 337,433.80
  5. Step 5: Solve for x
    x = 337,433.80/533.24
  6. Step 6: Final answer
    x = 632.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.