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Finding the Fourth Proportional to 468.44, 700.82 and 413.72

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Solution

The fourth proportional to 468.44, 700.82 and 413.72 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 700.82 = 413.72 : x
  2. Step 2: Convert to fraction form
    468.44/700.82 = 413.72/x
  3. Step 3: Cross multiply
    468.44x = 700.82 × 413.72
  4. Step 4: Simplify right side
    468.44x = 289,943.25
  5. Step 5: Solve for x
    x = 289,943.25/468.44
  6. Step 6: Final answer
    x = 618.95

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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.