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Finding the Fourth Proportional to 448.73, 669.08 and 441.90

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Solution

The fourth proportional to 448.73, 669.08 and 441.90 is: 658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.73 : 669.08 = 441.90 : x
  2. Step 2: Convert to fraction form
    448.73/669.08 = 441.90/x
  3. Step 3: Cross multiply
    448.73x = 669.08 × 441.90
  4. Step 4: Simplify right side
    448.73x = 295,666.45
  5. Step 5: Solve for x
    x = 295,666.45/448.73
  6. Step 6: Final answer
    x = 658.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.