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Finding the Fourth Proportional to 634.97, 949.83 and 596.09

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Solution

The fourth proportional to 634.97, 949.83 and 596.09 is: 891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.97 : 949.83 = 596.09 : x
  2. Step 2: Convert to fraction form
    634.97/949.83 = 596.09/x
  3. Step 3: Cross multiply
    634.97x = 949.83 × 596.09
  4. Step 4: Simplify right side
    634.97x = 566,186.24
  5. Step 5: Solve for x
    x = 566,186.24/634.97
  6. Step 6: Final answer
    x = 891.67

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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.