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Finding the Fourth Proportional to 893.92, 1,337.88 and 859.84

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Solution

The fourth proportional to 893.92, 1,337.88 and 859.84 is: 1,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.92 : 1,337.88 = 859.84 : x
  2. Step 2: Convert to fraction form
    893.92/1,337.88 = 859.84/x
  3. Step 3: Cross multiply
    893.92x = 1,337.88 × 859.84
  4. Step 4: Simplify right side
    893.92x = 1,150,362.74
  5. Step 5: Solve for x
    x = 1,150,362.74/893.92
  6. Step 6: Final answer
    x = 1,286.87

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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.