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Finding the Fourth Proportional to 452.82, 679.53 and 422.45

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Solution

The fourth proportional to 452.82, 679.53 and 422.45 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.82 : 679.53 = 422.45 : x
  2. Step 2: Convert to fraction form
    452.82/679.53 = 422.45/x
  3. Step 3: Cross multiply
    452.82x = 679.53 × 422.45
  4. Step 4: Simplify right side
    452.82x = 287,064.05
  5. Step 5: Solve for x
    x = 287,064.05/452.82
  6. Step 6: Final answer
    x = 633.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.