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Finding the Fourth Proportional to 663.66, 996.10 and 509.09

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Solution

The fourth proportional to 663.66, 996.10 and 509.09 is: 764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 996.10 = 509.09 : x
  2. Step 2: Convert to fraction form
    663.66/996.10 = 509.09/x
  3. Step 3: Cross multiply
    663.66x = 996.10 × 509.09
  4. Step 4: Simplify right side
    663.66x = 507,098.30
  5. Step 5: Solve for x
    x = 507,098.30/663.66
  6. Step 6: Final answer
    x = 764.09

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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.