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Finding the Fourth Proportional to 893.84, 1,340.79 and 792.39

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Solution

The fourth proportional to 893.84, 1,340.79 and 792.39 is: 1,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.84 : 1,340.79 = 792.39 : x
  2. Step 2: Convert to fraction form
    893.84/1,340.79 = 792.39/x
  3. Step 3: Cross multiply
    893.84x = 1,340.79 × 792.39
  4. Step 4: Simplify right side
    893.84x = 1,062,417.92
  5. Step 5: Solve for x
    x = 1,062,417.92/893.84
  6. Step 6: Final answer
    x = 1,188.61

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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.