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Finding the Fourth Proportional to 634.39, 874.88 and 413.26

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Solution

The fourth proportional to 634.39, 874.88 and 413.26 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.39 : 874.88 = 413.26 : x
  2. Step 2: Convert to fraction form
    634.39/874.88 = 413.26/x
  3. Step 3: Cross multiply
    634.39x = 874.88 × 413.26
  4. Step 4: Simplify right side
    634.39x = 361,550.84
  5. Step 5: Solve for x
    x = 361,550.84/634.39
  6. Step 6: Final answer
    x = 569.92

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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.