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Finding the Fourth Proportional to 1,285.74, 1,926.84 and 668.22

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Solution

The fourth proportional to 1,285.74, 1,926.84 and 668.22 is: 1,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.74 : 1,926.84 = 668.22 : x
  2. Step 2: Convert to fraction form
    1,285.74/1,926.84 = 668.22/x
  3. Step 3: Cross multiply
    1,285.74x = 1,926.84 × 668.22
  4. Step 4: Simplify right side
    1,285.74x = 1,287,553.02
  5. Step 5: Solve for x
    x = 1,287,553.02/1,285.74
  6. Step 6: Final answer
    x = 1,001.41

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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.