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Finding the Fourth Proportional to 452.42, 623.84 and 286.44

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Solution

The fourth proportional to 452.42, 623.84 and 286.44 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 623.84 = 286.44 : x
  2. Step 2: Convert to fraction form
    452.42/623.84 = 286.44/x
  3. Step 3: Cross multiply
    452.42x = 623.84 × 286.44
  4. Step 4: Simplify right side
    452.42x = 178,692.73
  5. Step 5: Solve for x
    x = 178,692.73/452.42
  6. Step 6: Final answer
    x = 394.97

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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.