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Finding the Fourth Proportional to 792.89, 1,189.43 and 245.12

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Solution

The fourth proportional to 792.89, 1,189.43 and 245.12 is: 367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.89 : 1,189.43 = 245.12 : x
  2. Step 2: Convert to fraction form
    792.89/1,189.43 = 245.12/x
  3. Step 3: Cross multiply
    792.89x = 1,189.43 × 245.12
  4. Step 4: Simplify right side
    792.89x = 291,551.86
  5. Step 5: Solve for x
    x = 291,551.86/792.89
  6. Step 6: Final answer
    x = 367.71

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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.