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Finding the Fourth Proportional to 454.92, 627.88 and 381.12

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Solution

The fourth proportional to 454.92, 627.88 and 381.12 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 627.88 = 381.12 : x
  2. Step 2: Convert to fraction form
    454.92/627.88 = 381.12/x
  3. Step 3: Cross multiply
    454.92x = 627.88 × 381.12
  4. Step 4: Simplify right side
    454.92x = 239,297.63
  5. Step 5: Solve for x
    x = 239,297.63/454.92
  6. Step 6: Final answer
    x = 526.02

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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.