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Finding the Fourth Proportional to 622.15, 933.18 and 449.13

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Solution

The fourth proportional to 622.15, 933.18 and 449.13 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.15 : 933.18 = 449.13 : x
  2. Step 2: Convert to fraction form
    622.15/933.18 = 449.13/x
  3. Step 3: Cross multiply
    622.15x = 933.18 × 449.13
  4. Step 4: Simplify right side
    622.15x = 419,113.95
  5. Step 5: Solve for x
    x = 419,113.95/622.15
  6. Step 6: Final answer
    x = 673.66

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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.