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Finding the Fourth Proportional to 796.55, 1,195.00 and 309.74

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Solution

The fourth proportional to 796.55, 1,195.00 and 309.74 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.55 : 1,195.00 = 309.74 : x
  2. Step 2: Convert to fraction form
    796.55/1,195.00 = 309.74/x
  3. Step 3: Cross multiply
    796.55x = 1,195.00 × 309.74
  4. Step 4: Simplify right side
    796.55x = 370,132.55
  5. Step 5: Solve for x
    x = 370,132.55/796.55
  6. Step 6: Final answer
    x = 464.67

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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.