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Finding the Fourth Proportional to 792.26, 1,188.35 and 380.14

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Solution

The fourth proportional to 792.26, 1,188.35 and 380.14 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.26 : 1,188.35 = 380.14 : x
  2. Step 2: Convert to fraction form
    792.26/1,188.35 = 380.14/x
  3. Step 3: Cross multiply
    792.26x = 1,188.35 × 380.14
  4. Step 4: Simplify right side
    792.26x = 451,739.37
  5. Step 5: Solve for x
    x = 451,739.37/792.26
  6. Step 6: Final answer
    x = 570.19

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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.