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Finding the Fourth Proportional to 456.45, 683.39 and 413.20

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Solution

The fourth proportional to 456.45, 683.39 and 413.20 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 683.39 = 413.20 : x
  2. Step 2: Convert to fraction form
    456.45/683.39 = 413.20/x
  3. Step 3: Cross multiply
    456.45x = 683.39 × 413.20
  4. Step 4: Simplify right side
    456.45x = 282,376.31
  5. Step 5: Solve for x
    x = 282,376.31/456.45
  6. Step 6: Final answer
    x = 618.63

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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.