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Finding the Fourth Proportional to 989.62, 1,365.05 and 792.79

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Solution

The fourth proportional to 989.62, 1,365.05 and 792.79 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.62 : 1,365.05 = 792.79 : x
  2. Step 2: Convert to fraction form
    989.62/1,365.05 = 792.79/x
  3. Step 3: Cross multiply
    989.62x = 1,365.05 × 792.79
  4. Step 4: Simplify right side
    989.62x = 1,082,196.56
  5. Step 5: Solve for x
    x = 1,082,196.56/989.62
  6. Step 6: Final answer
    x = 1,093.55

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Why These Related Problems?

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