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Finding the Fourth Proportional to 664.24, 996.77 and 253.72

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Solution

The fourth proportional to 664.24, 996.77 and 253.72 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 996.77 = 253.72 : x
  2. Step 2: Convert to fraction form
    664.24/996.77 = 253.72/x
  3. Step 3: Cross multiply
    664.24x = 996.77 × 253.72
  4. Step 4: Simplify right side
    664.24x = 252,902.36
  5. Step 5: Solve for x
    x = 252,902.36/664.24
  6. Step 6: Final answer
    x = 380.74

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Double scale
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Similar ratio
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1.5x scale

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.