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Finding the Fourth Proportional to 996.82, 1,495.56 and 509.74

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Solution

The fourth proportional to 996.82, 1,495.56 and 509.74 is: 764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.82 : 1,495.56 = 509.74 : x
  2. Step 2: Convert to fraction form
    996.82/1,495.56 = 509.74/x
  3. Step 3: Cross multiply
    996.82x = 1,495.56 × 509.74
  4. Step 4: Simplify right side
    996.82x = 762,346.75
  5. Step 5: Solve for x
    x = 762,346.75/996.82
  6. Step 6: Final answer
    x = 764.78

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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.