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Finding the Fourth Proportional to 792.92, 1,189.78 and 359.98

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Solution

The fourth proportional to 792.92, 1,189.78 and 359.98 is: 540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.92 : 1,189.78 = 359.98 : x
  2. Step 2: Convert to fraction form
    792.92/1,189.78 = 359.98/x
  3. Step 3: Cross multiply
    792.92x = 1,189.78 × 359.98
  4. Step 4: Simplify right side
    792.92x = 428,297.00
  5. Step 5: Solve for x
    x = 428,297.00/792.92
  6. Step 6: Final answer
    x = 540.15

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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.