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Finding the Fourth Proportional to 452.99, 678.18 and 409.73

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Solution

The fourth proportional to 452.99, 678.18 and 409.73 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 678.18 = 409.73 : x
  2. Step 2: Convert to fraction form
    452.99/678.18 = 409.73/x
  3. Step 3: Cross multiply
    452.99x = 678.18 × 409.73
  4. Step 4: Simplify right side
    452.99x = 277,872.39
  5. Step 5: Solve for x
    x = 277,872.39/452.99
  6. Step 6: Final answer
    x = 613.43

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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.