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Finding the Fourth Proportional to 486.06, 669.22 and 412.21

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Solution

The fourth proportional to 486.06, 669.22 and 412.21 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 669.22 = 412.21 : x
  2. Step 2: Convert to fraction form
    486.06/669.22 = 412.21/x
  3. Step 3: Cross multiply
    486.06x = 669.22 × 412.21
  4. Step 4: Simplify right side
    486.06x = 275,859.18
  5. Step 5: Solve for x
    x = 275,859.18/486.06
  6. Step 6: Final answer
    x = 567.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.