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Finding the Fourth Proportional to 452.44, 675.24 and 408.70

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Solution

The fourth proportional to 452.44, 675.24 and 408.70 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 675.24 = 408.70 : x
  2. Step 2: Convert to fraction form
    452.44/675.24 = 408.70/x
  3. Step 3: Cross multiply
    452.44x = 675.24 × 408.70
  4. Step 4: Simplify right side
    452.44x = 275,966.10
  5. Step 5: Solve for x
    x = 275,966.10/452.44
  6. Step 6: Final answer
    x = 609.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.