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Finding the Fourth Proportional to 452.20, 622.18 and 423.40

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Solution

The fourth proportional to 452.20, 622.18 and 423.40 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 622.18 = 423.40 : x
  2. Step 2: Convert to fraction form
    452.20/622.18 = 423.40/x
  3. Step 3: Cross multiply
    452.20x = 622.18 × 423.40
  4. Step 4: Simplify right side
    452.20x = 263,431.01
  5. Step 5: Solve for x
    x = 263,431.01/452.20
  6. Step 6: Final answer
    x = 582.55

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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.