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Finding the Fourth Proportional to 416.74, 623.80 and 285.97

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Solution

The fourth proportional to 416.74, 623.80 and 285.97 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.74 : 623.80 = 285.97 : x
  2. Step 2: Convert to fraction form
    416.74/623.80 = 285.97/x
  3. Step 3: Cross multiply
    416.74x = 623.80 × 285.97
  4. Step 4: Simplify right side
    416.74x = 178,389.35
  5. Step 5: Solve for x
    x = 178,389.35/416.74
  6. Step 6: Final answer
    x = 428.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.