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Finding the Fourth Proportional to 465.63, 699.23 and 413.68

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Solution

The fourth proportional to 465.63, 699.23 and 413.68 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 699.23 = 413.68 : x
  2. Step 2: Convert to fraction form
    465.63/699.23 = 413.68/x
  3. Step 3: Cross multiply
    465.63x = 699.23 × 413.68
  4. Step 4: Simplify right side
    465.63x = 289,257.47
  5. Step 5: Solve for x
    x = 289,257.47/465.63
  6. Step 6: Final answer
    x = 621.22

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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.