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Finding the Fourth Proportional to 486.40, 726.50 and 418.12

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Solution

The fourth proportional to 486.40, 726.50 and 418.12 is: 624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.40 : 726.50 = 418.12 : x
  2. Step 2: Convert to fraction form
    486.40/726.50 = 418.12/x
  3. Step 3: Cross multiply
    486.40x = 726.50 × 418.12
  4. Step 4: Simplify right side
    486.40x = 303,764.18
  5. Step 5: Solve for x
    x = 303,764.18/486.40
  6. Step 6: Final answer
    x = 624.52

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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.