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Finding the Fourth Proportional to 792.90, 1,189.45 and 306.29

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Solution

The fourth proportional to 792.90, 1,189.45 and 306.29 is: 459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.90 : 1,189.45 = 306.29 : x
  2. Step 2: Convert to fraction form
    792.90/1,189.45 = 306.29/x
  3. Step 3: Cross multiply
    792.90x = 1,189.45 × 306.29
  4. Step 4: Simplify right side
    792.90x = 364,316.64
  5. Step 5: Solve for x
    x = 364,316.64/792.90
  6. Step 6: Final answer
    x = 459.47

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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.