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Finding the Fourth Proportional to 486.71, 726.52 and 418.67

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Solution

The fourth proportional to 486.71, 726.52 and 418.67 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.71 : 726.52 = 418.67 : x
  2. Step 2: Convert to fraction form
    486.71/726.52 = 418.67/x
  3. Step 3: Cross multiply
    486.71x = 726.52 × 418.67
  4. Step 4: Simplify right side
    486.71x = 304,172.13
  5. Step 5: Solve for x
    x = 304,172.13/486.71
  6. Step 6: Final answer
    x = 624.96

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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.