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Finding the Fourth Proportional to 488.28, 669.92 and 446.97

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Solution

The fourth proportional to 488.28, 669.92 and 446.97 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 669.92 = 446.97 : x
  2. Step 2: Convert to fraction form
    488.28/669.92 = 446.97/x
  3. Step 3: Cross multiply
    488.28x = 669.92 × 446.97
  4. Step 4: Simplify right side
    488.28x = 299,433.17
  5. Step 5: Solve for x
    x = 299,433.17/488.28
  6. Step 6: Final answer
    x = 613.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.