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Finding the Fourth Proportional to 414.07, 623.89 and 369.85

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Solution

The fourth proportional to 414.07, 623.89 and 369.85 is: 557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 623.89 = 369.85 : x
  2. Step 2: Convert to fraction form
    414.07/623.89 = 369.85/x
  3. Step 3: Cross multiply
    414.07x = 623.89 × 369.85
  4. Step 4: Simplify right side
    414.07x = 230,745.72
  5. Step 5: Solve for x
    x = 230,745.72/414.07
  6. Step 6: Final answer
    x = 557.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.