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Finding the Fourth Proportional to 455.92, 627.84 and 385.84

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Solution

The fourth proportional to 455.92, 627.84 and 385.84 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.92 : 627.84 = 385.84 : x
  2. Step 2: Convert to fraction form
    455.92/627.84 = 385.84/x
  3. Step 3: Cross multiply
    455.92x = 627.84 × 385.84
  4. Step 4: Simplify right side
    455.92x = 242,245.79
  5. Step 5: Solve for x
    x = 242,245.79/455.92
  6. Step 6: Final answer
    x = 531.33

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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.