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Finding the Fourth Proportional to 664.62, 917.22 and 384.96

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Solution

The fourth proportional to 664.62, 917.22 and 384.96 is: 531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.62 : 917.22 = 384.96 : x
  2. Step 2: Convert to fraction form
    664.62/917.22 = 384.96/x
  3. Step 3: Cross multiply
    664.62x = 917.22 × 384.96
  4. Step 4: Simplify right side
    664.62x = 353,093.01
  5. Step 5: Solve for x
    x = 353,093.01/664.62
  6. Step 6: Final answer
    x = 531.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.