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Finding the Fourth Proportional to 486.26, 669.36 and 423.20

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Solution

The fourth proportional to 486.26, 669.36 and 423.20 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.26 : 669.36 = 423.20 : x
  2. Step 2: Convert to fraction form
    486.26/669.36 = 423.20/x
  3. Step 3: Cross multiply
    486.26x = 669.36 × 423.20
  4. Step 4: Simplify right side
    486.26x = 283,273.15
  5. Step 5: Solve for x
    x = 283,273.15/486.26
  6. Step 6: Final answer
    x = 582.55

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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.