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Finding the Fourth Proportional to 452.32, 620.44 and 448.42

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Solution

The fourth proportional to 452.32, 620.44 and 448.42 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 620.44 = 448.42 : x
  2. Step 2: Convert to fraction form
    452.32/620.44 = 448.42/x
  3. Step 3: Cross multiply
    452.32x = 620.44 × 448.42
  4. Step 4: Simplify right side
    452.32x = 278,214.60
  5. Step 5: Solve for x
    x = 278,214.60/452.32
  6. Step 6: Final answer
    x = 615.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.