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Finding the Fourth Proportional to 1,605.39, 2,408.09 and 509.85

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Solution

The fourth proportional to 1,605.39, 2,408.09 and 509.85 is: 764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.39 : 2,408.09 = 509.85 : x
  2. Step 2: Convert to fraction form
    1,605.39/2,408.09 = 509.85/x
  3. Step 3: Cross multiply
    1,605.39x = 2,408.09 × 509.85
  4. Step 4: Simplify right side
    1,605.39x = 1,227,762.14
  5. Step 5: Solve for x
    x = 1,227,762.14/1,605.39
  6. Step 6: Final answer
    x = 764.78

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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.