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Finding the Fourth Proportional to 853.99, 1,281.24 and 334.09

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Solution

The fourth proportional to 853.99, 1,281.24 and 334.09 is: 501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.99 : 1,281.24 = 334.09 : x
  2. Step 2: Convert to fraction form
    853.99/1,281.24 = 334.09/x
  3. Step 3: Cross multiply
    853.99x = 1,281.24 × 334.09
  4. Step 4: Simplify right side
    853.99x = 428,049.47
  5. Step 5: Solve for x
    x = 428,049.47/853.99
  6. Step 6: Final answer
    x = 501.23

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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.