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Finding the Fourth Proportional to 488.43, 675.54 and 480.23

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Solution

The fourth proportional to 488.43, 675.54 and 480.23 is: 664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 675.54 = 480.23 : x
  2. Step 2: Convert to fraction form
    488.43/675.54 = 480.23/x
  3. Step 3: Cross multiply
    488.43x = 675.54 × 480.23
  4. Step 4: Simplify right side
    488.43x = 324,411.20
  5. Step 5: Solve for x
    x = 324,411.20/488.43
  6. Step 6: Final answer
    x = 664.19

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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.