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Finding the Fourth Proportional to 799.24, 1,197.75 and 447.53

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Solution

The fourth proportional to 799.24, 1,197.75 and 447.53 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,197.75 = 447.53 : x
  2. Step 2: Convert to fraction form
    799.24/1,197.75 = 447.53/x
  3. Step 3: Cross multiply
    799.24x = 1,197.75 × 447.53
  4. Step 4: Simplify right side
    799.24x = 536,029.06
  5. Step 5: Solve for x
    x = 536,029.06/799.24
  6. Step 6: Final answer
    x = 670.67

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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.