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Finding the Fourth Proportional to 879.92, 1,317.45 and 662.84

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Solution

The fourth proportional to 879.92, 1,317.45 and 662.84 is: 992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.92 : 1,317.45 = 662.84 : x
  2. Step 2: Convert to fraction form
    879.92/1,317.45 = 662.84/x
  3. Step 3: Cross multiply
    879.92x = 1,317.45 × 662.84
  4. Step 4: Simplify right side
    879.92x = 873,258.56
  5. Step 5: Solve for x
    x = 873,258.56/879.92
  6. Step 6: Final answer
    x = 992.43

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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.