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Finding the Fourth Proportional to 413.94, 625.80 and 410.52

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Solution

The fourth proportional to 413.94, 625.80 and 410.52 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 625.80 = 410.52 : x
  2. Step 2: Convert to fraction form
    413.94/625.80 = 410.52/x
  3. Step 3: Cross multiply
    413.94x = 625.80 × 410.52
  4. Step 4: Simplify right side
    413.94x = 256,902.63
  5. Step 5: Solve for x
    x = 256,902.63/413.94
  6. Step 6: Final answer
    x = 620.63

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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.