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Finding the Fourth Proportional to 796.72, 1,197.50 and 779.70

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Solution

The fourth proportional to 796.72, 1,197.50 and 779.70 is: 1,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.72 : 1,197.50 = 779.70 : x
  2. Step 2: Convert to fraction form
    796.72/1,197.50 = 779.70/x
  3. Step 3: Cross multiply
    796.72x = 1,197.50 × 779.70
  4. Step 4: Simplify right side
    796.72x = 933,690.75
  5. Step 5: Solve for x
    x = 933,690.75/796.72
  6. Step 6: Final answer
    x = 1,171.92

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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.