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Finding the Fourth Proportional to 454.84, 626.69 and 379.89

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Solution

The fourth proportional to 454.84, 626.69 and 379.89 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 626.69 = 379.89 : x
  2. Step 2: Convert to fraction form
    454.84/626.69 = 379.89/x
  3. Step 3: Cross multiply
    454.84x = 626.69 × 379.89
  4. Step 4: Simplify right side
    454.84x = 238,072.08
  5. Step 5: Solve for x
    x = 238,072.08/454.84
  6. Step 6: Final answer
    x = 523.42

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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.