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Finding the Fourth Proportional to 428.22, 644.63 and 365.58

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Solution

The fourth proportional to 428.22, 644.63 and 365.58 is: 550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 644.63 = 365.58 : x
  2. Step 2: Convert to fraction form
    428.22/644.63 = 365.58/x
  3. Step 3: Cross multiply
    428.22x = 644.63 × 365.58
  4. Step 4: Simplify right side
    428.22x = 235,662.01
  5. Step 5: Solve for x
    x = 235,662.01/428.22
  6. Step 6: Final answer
    x = 550.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.