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Finding the Fourth Proportional to 1,385.42, 1,912.07 and 888.62

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Solution

The fourth proportional to 1,385.42, 1,912.07 and 888.62 is: 1,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.42 : 1,912.07 = 888.62 : x
  2. Step 2: Convert to fraction form
    1,385.42/1,912.07 = 888.62/x
  3. Step 3: Cross multiply
    1,385.42x = 1,912.07 × 888.62
  4. Step 4: Simplify right side
    1,385.42x = 1,699,096.30
  5. Step 5: Solve for x
    x = 1,699,096.30/1,385.42
  6. Step 6: Final answer
    x = 1,226.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.