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Finding the Fourth Proportional to 624.92, 936.74 and 278

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Solution

The fourth proportional to 624.92, 936.74 and 278 is: 416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.92 : 936.74 = 278 : x
  2. Step 2: Convert to fraction form
    624.92/936.74 = 278/x
  3. Step 3: Cross multiply
    624.92x = 936.74 × 278
  4. Step 4: Simplify right side
    624.92x = 260,413.72
  5. Step 5: Solve for x
    x = 260,413.72/624.92
  6. Step 6: Final answer
    x = 416.72

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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.