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Finding the Fourth Proportional to 795.72, 1,196 and 778.70

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Solution

The fourth proportional to 795.72, 1,196 and 778.70 is: 1,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.72 : 1,196 = 778.70 : x
  2. Step 2: Convert to fraction form
    795.72/1,196 = 778.70/x
  3. Step 3: Cross multiply
    795.72x = 1,196 × 778.70
  4. Step 4: Simplify right side
    795.72x = 931,325.20
  5. Step 5: Solve for x
    x = 931,325.20/795.72
  6. Step 6: Final answer
    x = 1,170.42

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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.