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Finding the Fourth Proportional to 456.95, 682.21 and 413.90

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Solution

The fourth proportional to 456.95, 682.21 and 413.90 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 682.21 = 413.90 : x
  2. Step 2: Convert to fraction form
    456.95/682.21 = 413.90/x
  3. Step 3: Cross multiply
    456.95x = 682.21 × 413.90
  4. Step 4: Simplify right side
    456.95x = 282,366.72
  5. Step 5: Solve for x
    x = 282,366.72/456.95
  6. Step 6: Final answer
    x = 617.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.