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Finding the Fourth Proportional to 452.12, 622.50 and 408.92

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Solution

The fourth proportional to 452.12, 622.50 and 408.92 is: 563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 622.50 = 408.92 : x
  2. Step 2: Convert to fraction form
    452.12/622.50 = 408.92/x
  3. Step 3: Cross multiply
    452.12x = 622.50 × 408.92
  4. Step 4: Simplify right side
    452.12x = 254,552.70
  5. Step 5: Solve for x
    x = 254,552.70/452.12
  6. Step 6: Final answer
    x = 563.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.