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Finding the Fourth Proportional to 462.36, 690.18 and 413.76

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Solution

The fourth proportional to 462.36, 690.18 and 413.76 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 690.18 = 413.76 : x
  2. Step 2: Convert to fraction form
    462.36/690.18 = 413.76/x
  3. Step 3: Cross multiply
    462.36x = 690.18 × 413.76
  4. Step 4: Simplify right side
    462.36x = 285,568.88
  5. Step 5: Solve for x
    x = 285,568.88/462.36
  6. Step 6: Final answer
    x = 617.63

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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.