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Finding the Fourth Proportional to 509.99, 764.96 and 279.33

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Solution

The fourth proportional to 509.99, 764.96 and 279.33 is: 418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.99 : 764.96 = 279.33 : x
  2. Step 2: Convert to fraction form
    509.99/764.96 = 279.33/x
  3. Step 3: Cross multiply
    509.99x = 764.96 × 279.33
  4. Step 4: Simplify right side
    509.99x = 213,676.98
  5. Step 5: Solve for x
    x = 213,676.98/509.99
  6. Step 6: Final answer
    x = 418.98

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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.