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Finding the Fourth Proportional to 451.76, 622.97 and 401.81

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Solution

The fourth proportional to 451.76, 622.97 and 401.81 is: 554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 622.97 = 401.81 : x
  2. Step 2: Convert to fraction form
    451.76/622.97 = 401.81/x
  3. Step 3: Cross multiply
    451.76x = 622.97 × 401.81
  4. Step 4: Simplify right side
    451.76x = 250,310.45
  5. Step 5: Solve for x
    x = 250,310.45/451.76
  6. Step 6: Final answer
    x = 554.08

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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.