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Finding the Fourth Proportional to 445.82, 663.85 and 429.41

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Solution

The fourth proportional to 445.82, 663.85 and 429.41 is: 639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.82 : 663.85 = 429.41 : x
  2. Step 2: Convert to fraction form
    445.82/663.85 = 429.41/x
  3. Step 3: Cross multiply
    445.82x = 663.85 × 429.41
  4. Step 4: Simplify right side
    445.82x = 285,066.02
  5. Step 5: Solve for x
    x = 285,066.02/445.82
  6. Step 6: Final answer
    x = 639.43

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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.