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Finding the Fourth Proportional to 1,284.32, 1,922.30 and 667.14

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Solution

The fourth proportional to 1,284.32, 1,922.30 and 667.14 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.32 : 1,922.30 = 667.14 : x
  2. Step 2: Convert to fraction form
    1,284.32/1,922.30 = 667.14/x
  3. Step 3: Cross multiply
    1,284.32x = 1,922.30 × 667.14
  4. Step 4: Simplify right side
    1,284.32x = 1,282,443.22
  5. Step 5: Solve for x
    x = 1,282,443.22/1,284.32
  6. Step 6: Final answer
    x = 998.54

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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.