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Finding the Fourth Proportional to 450.69, 622.08 and 319.74

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Solution

The fourth proportional to 450.69, 622.08 and 319.74 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.69 : 622.08 = 319.74 : x
  2. Step 2: Convert to fraction form
    450.69/622.08 = 319.74/x
  3. Step 3: Cross multiply
    450.69x = 622.08 × 319.74
  4. Step 4: Simplify right side
    450.69x = 198,903.86
  5. Step 5: Solve for x
    x = 198,903.86/450.69
  6. Step 6: Final answer
    x = 441.33

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