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Finding the Fourth Proportional to 598.22, 825.86 and 449.67

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Solution

The fourth proportional to 598.22, 825.86 and 449.67 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 825.86 = 449.67 : x
  2. Step 2: Convert to fraction form
    598.22/825.86 = 449.67/x
  3. Step 3: Cross multiply
    598.22x = 825.86 × 449.67
  4. Step 4: Simplify right side
    598.22x = 371,364.04
  5. Step 5: Solve for x
    x = 371,364.04/598.22
  6. Step 6: Final answer
    x = 620.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.