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Finding the Fourth Proportional to 482.83, 725.18 and 413.57

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Solution

The fourth proportional to 482.83, 725.18 and 413.57 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.83 : 725.18 = 413.57 : x
  2. Step 2: Convert to fraction form
    482.83/725.18 = 413.57/x
  3. Step 3: Cross multiply
    482.83x = 725.18 × 413.57
  4. Step 4: Simplify right side
    482.83x = 299,912.44
  5. Step 5: Solve for x
    x = 299,912.44/482.83
  6. Step 6: Final answer
    x = 621.16

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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.