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Finding the Fourth Proportional to 780.96, 1,171.42 and 293.80

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Solution

The fourth proportional to 780.96, 1,171.42 and 293.80 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.96 : 1,171.42 = 293.80 : x
  2. Step 2: Convert to fraction form
    780.96/1,171.42 = 293.80/x
  3. Step 3: Cross multiply
    780.96x = 1,171.42 × 293.80
  4. Step 4: Simplify right side
    780.96x = 344,163.20
  5. Step 5: Solve for x
    x = 344,163.20/780.96
  6. Step 6: Final answer
    x = 440.69

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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.