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Finding the Fourth Proportional to 788.09, 1,182.33 and 301.14

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Solution

The fourth proportional to 788.09, 1,182.33 and 301.14 is: 451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,182.33 = 301.14 : x
  2. Step 2: Convert to fraction form
    788.09/1,182.33 = 301.14/x
  3. Step 3: Cross multiply
    788.09x = 1,182.33 × 301.14
  4. Step 4: Simplify right side
    788.09x = 356,046.86
  5. Step 5: Solve for x
    x = 356,046.86/788.09
  6. Step 6: Final answer
    x = 451.79

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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.