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Finding the Fourth Proportional to 433.79, 649.59 and 279.73

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Solution

The fourth proportional to 433.79, 649.59 and 279.73 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.79 : 649.59 = 279.73 : x
  2. Step 2: Convert to fraction form
    433.79/649.59 = 279.73/x
  3. Step 3: Cross multiply
    433.79x = 649.59 × 279.73
  4. Step 4: Simplify right side
    433.79x = 181,709.81
  5. Step 5: Solve for x
    x = 181,709.81/433.79
  6. Step 6: Final answer
    x = 418.89

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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.