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Finding the Fourth Proportional to 622.36, 933.48 and 449.84

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Solution

The fourth proportional to 622.36, 933.48 and 449.84 is: 674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.36 : 933.48 = 449.84 : x
  2. Step 2: Convert to fraction form
    622.36/933.48 = 449.84/x
  3. Step 3: Cross multiply
    622.36x = 933.48 × 449.84
  4. Step 4: Simplify right side
    622.36x = 419,916.64
  5. Step 5: Solve for x
    x = 419,916.64/622.36
  6. Step 6: Final answer
    x = 674.72

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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.