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Finding the Fourth Proportional to 452.02, 623.49 and 285.97

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Solution

The fourth proportional to 452.02, 623.49 and 285.97 is: 394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 623.49 = 285.97 : x
  2. Step 2: Convert to fraction form
    452.02/623.49 = 285.97/x
  3. Step 3: Cross multiply
    452.02x = 623.49 × 285.97
  4. Step 4: Simplify right side
    452.02x = 178,299.44
  5. Step 5: Solve for x
    x = 178,299.44/452.02
  6. Step 6: Final answer
    x = 394.45

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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.