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Finding the Fourth Proportional to 792.90, 1,189.80 and 305.88

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Solution

The fourth proportional to 792.90, 1,189.80 and 305.88 is: 458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.90 : 1,189.80 = 305.88 : x
  2. Step 2: Convert to fraction form
    792.90/1,189.80 = 305.88/x
  3. Step 3: Cross multiply
    792.90x = 1,189.80 × 305.88
  4. Step 4: Simplify right side
    792.90x = 363,936.02
  5. Step 5: Solve for x
    x = 363,936.02/792.90
  6. Step 6: Final answer
    x = 458.99

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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.