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Finding the Fourth Proportional to 486.75, 728.67 and 371.62

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Solution

The fourth proportional to 486.75, 728.67 and 371.62 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.75 : 728.67 = 371.62 : x
  2. Step 2: Convert to fraction form
    486.75/728.67 = 371.62/x
  3. Step 3: Cross multiply
    486.75x = 728.67 × 371.62
  4. Step 4: Simplify right side
    486.75x = 270,784.70
  5. Step 5: Solve for x
    x = 270,784.70/486.75
  6. Step 6: Final answer
    x = 556.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.