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Finding the Fourth Proportional to 488.97, 675.36 and 447.57

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Solution

The fourth proportional to 488.97, 675.36 and 447.57 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.97 : 675.36 = 447.57 : x
  2. Step 2: Convert to fraction form
    488.97/675.36 = 447.57/x
  3. Step 3: Cross multiply
    488.97x = 675.36 × 447.57
  4. Step 4: Simplify right side
    488.97x = 302,270.88
  5. Step 5: Solve for x
    x = 302,270.88/488.97
  6. Step 6: Final answer
    x = 618.18

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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.