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Finding the Fourth Proportional to 825.13, 1,236.24 and 499.85

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Solution

The fourth proportional to 825.13, 1,236.24 and 499.85 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.13 : 1,236.24 = 499.85 : x
  2. Step 2: Convert to fraction form
    825.13/1,236.24 = 499.85/x
  3. Step 3: Cross multiply
    825.13x = 1,236.24 × 499.85
  4. Step 4: Simplify right side
    825.13x = 617,928.38
  5. Step 5: Solve for x
    x = 617,928.38/825.13
  6. Step 6: Final answer
    x = 748.89

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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.