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Finding the Fourth Proportional to 462.94, 693.80 and 413.90

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Solution

The fourth proportional to 462.94, 693.80 and 413.90 is: 620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 693.80 = 413.90 : x
  2. Step 2: Convert to fraction form
    462.94/693.80 = 413.90/x
  3. Step 3: Cross multiply
    462.94x = 693.80 × 413.90
  4. Step 4: Simplify right side
    462.94x = 287,163.82
  5. Step 5: Solve for x
    x = 287,163.82/462.94
  6. Step 6: Final answer
    x = 620.30

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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.