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Finding the Fourth Proportional to 1,327.48, 1,991.63 and 678.67

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Solution

The fourth proportional to 1,327.48, 1,991.63 and 678.67 is: 1,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.48 : 1,991.63 = 678.67 : x
  2. Step 2: Convert to fraction form
    1,327.48/1,991.63 = 678.67/x
  3. Step 3: Cross multiply
    1,327.48x = 1,991.63 × 678.67
  4. Step 4: Simplify right side
    1,327.48x = 1,351,656.14
  5. Step 5: Solve for x
    x = 1,351,656.14/1,327.48
  6. Step 6: Final answer
    x = 1,018.21

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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.