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Finding the Fourth Proportional to 427.09, 639.32 and 364.82

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Solution

The fourth proportional to 427.09, 639.32 and 364.82 is: 546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 639.32 = 364.82 : x
  2. Step 2: Convert to fraction form
    427.09/639.32 = 364.82/x
  3. Step 3: Cross multiply
    427.09x = 639.32 × 364.82
  4. Step 4: Simplify right side
    427.09x = 233,236.50
  5. Step 5: Solve for x
    x = 233,236.50/427.09
  6. Step 6: Final answer
    x = 546.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.