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Finding the Fourth Proportional to 825.24, 1,236.42 and 580.62

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Solution

The fourth proportional to 825.24, 1,236.42 and 580.62 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,236.42 = 580.62 : x
  2. Step 2: Convert to fraction form
    825.24/1,236.42 = 580.62/x
  3. Step 3: Cross multiply
    825.24x = 1,236.42 × 580.62
  4. Step 4: Simplify right side
    825.24x = 717,890.18
  5. Step 5: Solve for x
    x = 717,890.18/825.24
  6. Step 6: Final answer
    x = 869.92

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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.