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Finding the Fourth Proportional to 452.85, 622.51 and 408.30

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Solution

The fourth proportional to 452.85, 622.51 and 408.30 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.85 : 622.51 = 408.30 : x
  2. Step 2: Convert to fraction form
    452.85/622.51 = 408.30/x
  3. Step 3: Cross multiply
    452.85x = 622.51 × 408.30
  4. Step 4: Simplify right side
    452.85x = 254,170.83
  5. Step 5: Solve for x
    x = 254,170.83/452.85
  6. Step 6: Final answer
    x = 561.27

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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.