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Finding the Fourth Proportional to 454.95, 627.77 and 255.79

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Solution

The fourth proportional to 454.95, 627.77 and 255.79 is: 352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.95 : 627.77 = 255.79 : x
  2. Step 2: Convert to fraction form
    454.95/627.77 = 255.79/x
  3. Step 3: Cross multiply
    454.95x = 627.77 × 255.79
  4. Step 4: Simplify right side
    454.95x = 160,577.29
  5. Step 5: Solve for x
    x = 160,577.29/454.95
  6. Step 6: Final answer
    x = 352.96

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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.