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Finding the Fourth Proportional to 442.38, 663.81 and 429.76

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Solution

The fourth proportional to 442.38, 663.81 and 429.76 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.38 : 663.81 = 429.76 : x
  2. Step 2: Convert to fraction form
    442.38/663.81 = 429.76/x
  3. Step 3: Cross multiply
    442.38x = 663.81 × 429.76
  4. Step 4: Simplify right side
    442.38x = 285,278.99
  5. Step 5: Solve for x
    x = 285,278.99/442.38
  6. Step 6: Final answer
    x = 644.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.