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Finding the Fourth Proportional to 893.54, 1,338.96 and 662.06

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Solution

The fourth proportional to 893.54, 1,338.96 and 662.06 is: 992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.54 : 1,338.96 = 662.06 : x
  2. Step 2: Convert to fraction form
    893.54/1,338.96 = 662.06/x
  3. Step 3: Cross multiply
    893.54x = 1,338.96 × 662.06
  4. Step 4: Simplify right side
    893.54x = 886,471.86
  5. Step 5: Solve for x
    x = 886,471.86/893.54
  6. Step 6: Final answer
    x = 992.09

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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.