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Finding the Fourth Proportional to 416.12, 623.03 and 285.85

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Solution

The fourth proportional to 416.12, 623.03 and 285.85 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 623.03 = 285.85 : x
  2. Step 2: Convert to fraction form
    416.12/623.03 = 285.85/x
  3. Step 3: Cross multiply
    416.12x = 623.03 × 285.85
  4. Step 4: Simplify right side
    416.12x = 178,088.58
  5. Step 5: Solve for x
    x = 178,088.58/416.12
  6. Step 6: Final answer
    x = 427.97

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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.