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Finding the Fourth Proportional to 452.39, 623.03 and 428.92

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Solution

The fourth proportional to 452.39, 623.03 and 428.92 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 623.03 = 428.92 : x
  2. Step 2: Convert to fraction form
    452.39/623.03 = 428.92/x
  3. Step 3: Cross multiply
    452.39x = 623.03 × 428.92
  4. Step 4: Simplify right side
    452.39x = 267,226.33
  5. Step 5: Solve for x
    x = 267,226.33/452.39
  6. Step 6: Final answer
    x = 590.71

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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.