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Finding the Fourth Proportional to 791.16, 1,183.14 and 645.72

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Solution

The fourth proportional to 791.16, 1,183.14 and 645.72 is: 965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,183.14 = 645.72 : x
  2. Step 2: Convert to fraction form
    791.16/1,183.14 = 645.72/x
  3. Step 3: Cross multiply
    791.16x = 1,183.14 × 645.72
  4. Step 4: Simplify right side
    791.16x = 763,977.16
  5. Step 5: Solve for x
    x = 763,977.16/791.16
  6. Step 6: Final answer
    x = 965.64

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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.