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Finding the Fourth Proportional to 450.97, 622.81 and 311.45

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Solution

The fourth proportional to 450.97, 622.81 and 311.45 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.97 : 622.81 = 311.45 : x
  2. Step 2: Convert to fraction form
    450.97/622.81 = 311.45/x
  3. Step 3: Cross multiply
    450.97x = 622.81 × 311.45
  4. Step 4: Simplify right side
    450.97x = 193,974.17
  5. Step 5: Solve for x
    x = 193,974.17/450.97
  6. Step 6: Final answer
    x = 430.13

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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.