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Finding the Fourth Proportional to 462.75, 690.57 and 413.49

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Solution

The fourth proportional to 462.75, 690.57 and 413.49 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 690.57 = 413.49 : x
  2. Step 2: Convert to fraction form
    462.75/690.57 = 413.49/x
  3. Step 3: Cross multiply
    462.75x = 690.57 × 413.49
  4. Step 4: Simplify right side
    462.75x = 285,544.05
  5. Step 5: Solve for x
    x = 285,544.05/462.75
  6. Step 6: Final answer
    x = 617.06

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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.