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Finding the Fourth Proportional to 486.21, 725.79 and 418.17

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Solution

The fourth proportional to 486.21, 725.79 and 418.17 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.21 : 725.79 = 418.17 : x
  2. Step 2: Convert to fraction form
    486.21/725.79 = 418.17/x
  3. Step 3: Cross multiply
    486.21x = 725.79 × 418.17
  4. Step 4: Simplify right side
    486.21x = 303,503.60
  5. Step 5: Solve for x
    x = 303,503.60/486.21
  6. Step 6: Final answer
    x = 624.22

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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.