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Finding the Fourth Proportional to 634.80, 876 and 413.76

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Solution

The fourth proportional to 634.80, 876 and 413.76 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 876 = 413.76 : x
  2. Step 2: Convert to fraction form
    634.80/876 = 413.76/x
  3. Step 3: Cross multiply
    634.80x = 876 × 413.76
  4. Step 4: Simplify right side
    634.80x = 362,453.76
  5. Step 5: Solve for x
    x = 362,453.76/634.80
  6. Step 6: Final answer
    x = 570.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.