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Finding the Fourth Proportional to 664.99, 997.63 and 202.77

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Solution

The fourth proportional to 664.99, 997.63 and 202.77 is: 304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.99 : 997.63 = 202.77 : x
  2. Step 2: Convert to fraction form
    664.99/997.63 = 202.77/x
  3. Step 3: Cross multiply
    664.99x = 997.63 × 202.77
  4. Step 4: Simplify right side
    664.99x = 202,289.44
  5. Step 5: Solve for x
    x = 202,289.44/664.99
  6. Step 6: Final answer
    x = 304.20

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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.