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Finding the Fourth Proportional to 792.89, 1,189.38 and 305.94

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Solution

The fourth proportional to 792.89, 1,189.38 and 305.94 is: 458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.89 : 1,189.38 = 305.94 : x
  2. Step 2: Convert to fraction form
    792.89/1,189.38 = 305.94/x
  3. Step 3: Cross multiply
    792.89x = 1,189.38 × 305.94
  4. Step 4: Simplify right side
    792.89x = 363,871.44
  5. Step 5: Solve for x
    x = 363,871.44/792.89
  6. Step 6: Final answer
    x = 458.92

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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.