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Finding the Fourth Proportional to 767.81, 1,151.68 and 190.69

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Solution

The fourth proportional to 767.81, 1,151.68 and 190.69 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,151.68 = 190.69 : x
  2. Step 2: Convert to fraction form
    767.81/1,151.68 = 190.69/x
  3. Step 3: Cross multiply
    767.81x = 1,151.68 × 190.69
  4. Step 4: Simplify right side
    767.81x = 219,613.86
  5. Step 5: Solve for x
    x = 219,613.86/767.81
  6. Step 6: Final answer
    x = 286.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.