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Finding the Fourth Proportional to 533.42, 733.54 and 427.18

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Solution

The fourth proportional to 533.42, 733.54 and 427.18 is: 587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 733.54 = 427.18 : x
  2. Step 2: Convert to fraction form
    533.42/733.54 = 427.18/x
  3. Step 3: Cross multiply
    533.42x = 733.54 × 427.18
  4. Step 4: Simplify right side
    533.42x = 313,353.62
  5. Step 5: Solve for x
    x = 313,353.62/533.42
  6. Step 6: Final answer
    x = 587.44

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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.