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Finding the Fourth Proportional to 452.70, 622.89 and 428.94

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Solution

The fourth proportional to 452.70, 622.89 and 428.94 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 622.89 = 428.94 : x
  2. Step 2: Convert to fraction form
    452.70/622.89 = 428.94/x
  3. Step 3: Cross multiply
    452.70x = 622.89 × 428.94
  4. Step 4: Simplify right side
    452.70x = 267,182.44
  5. Step 5: Solve for x
    x = 267,182.44/452.70
  6. Step 6: Final answer
    x = 590.20

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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.