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Finding the Fourth Proportional to 853.23, 1,177.41 and 499.14

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Solution

The fourth proportional to 853.23, 1,177.41 and 499.14 is: 688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.23 : 1,177.41 = 499.14 : x
  2. Step 2: Convert to fraction form
    853.23/1,177.41 = 499.14/x
  3. Step 3: Cross multiply
    853.23x = 1,177.41 × 499.14
  4. Step 4: Simplify right side
    853.23x = 587,692.43
  5. Step 5: Solve for x
    x = 587,692.43/853.23
  6. Step 6: Final answer
    x = 688.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.