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Finding the Fourth Proportional to 836.73, 1,253.48 and 413.98

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Solution

The fourth proportional to 836.73, 1,253.48 and 413.98 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,253.48 = 413.98 : x
  2. Step 2: Convert to fraction form
    836.73/1,253.48 = 413.98/x
  3. Step 3: Cross multiply
    836.73x = 1,253.48 × 413.98
  4. Step 4: Simplify right side
    836.73x = 518,910.45
  5. Step 5: Solve for x
    x = 518,910.45/836.73
  6. Step 6: Final answer
    x = 620.16

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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.