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Finding the Fourth Proportional to 454.80, 626.76 and 381.36

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Solution

The fourth proportional to 454.80, 626.76 and 381.36 is: 525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.80 : 626.76 = 381.36 : x
  2. Step 2: Convert to fraction form
    454.80/626.76 = 381.36/x
  3. Step 3: Cross multiply
    454.80x = 626.76 × 381.36
  4. Step 4: Simplify right side
    454.80x = 239,021.19
  5. Step 5: Solve for x
    x = 239,021.19/454.80
  6. Step 6: Final answer
    x = 525.55

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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.