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Finding the Fourth Proportional to 805.94, 1,209.09 and 285.98

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Solution

The fourth proportional to 805.94, 1,209.09 and 285.98 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.94 : 1,209.09 = 285.98 : x
  2. Step 2: Convert to fraction form
    805.94/1,209.09 = 285.98/x
  3. Step 3: Cross multiply
    805.94x = 1,209.09 × 285.98
  4. Step 4: Simplify right side
    805.94x = 345,775.56
  5. Step 5: Solve for x
    x = 345,775.56/805.94
  6. Step 6: Final answer
    x = 429.03

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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.