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Finding the Fourth Proportional to 664.51, 996.74 and 253.84

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Solution

The fourth proportional to 664.51, 996.74 and 253.84 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.51 : 996.74 = 253.84 : x
  2. Step 2: Convert to fraction form
    664.51/996.74 = 253.84/x
  3. Step 3: Cross multiply
    664.51x = 996.74 × 253.84
  4. Step 4: Simplify right side
    664.51x = 253,011.21
  5. Step 5: Solve for x
    x = 253,011.21/664.51
  6. Step 6: Final answer
    x = 380.75

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