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Finding the Fourth Proportional to 452.10, 681.30 and 408.80

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Solution

The fourth proportional to 452.10, 681.30 and 408.80 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.10 : 681.30 = 408.80 : x
  2. Step 2: Convert to fraction form
    452.10/681.30 = 408.80/x
  3. Step 3: Cross multiply
    452.10x = 681.30 × 408.80
  4. Step 4: Simplify right side
    452.10x = 278,515.44
  5. Step 5: Solve for x
    x = 278,515.44/452.10
  6. Step 6: Final answer
    x = 616.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.