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Finding the Fourth Proportional to 452.82, 623.34 and 342.12

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Solution

The fourth proportional to 452.82, 623.34 and 342.12 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.82 : 623.34 = 342.12 : x
  2. Step 2: Convert to fraction form
    452.82/623.34 = 342.12/x
  3. Step 3: Cross multiply
    452.82x = 623.34 × 342.12
  4. Step 4: Simplify right side
    452.82x = 213,257.08
  5. Step 5: Solve for x
    x = 213,257.08/452.82
  6. Step 6: Final answer
    x = 470.95

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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.