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Finding the Fourth Proportional to 825.55, 1,238.25 and 516.34

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Solution

The fourth proportional to 825.55, 1,238.25 and 516.34 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.55 : 1,238.25 = 516.34 : x
  2. Step 2: Convert to fraction form
    825.55/1,238.25 = 516.34/x
  3. Step 3: Cross multiply
    825.55x = 1,238.25 × 516.34
  4. Step 4: Simplify right side
    825.55x = 639,358.01
  5. Step 5: Solve for x
    x = 639,358.01/825.55
  6. Step 6: Final answer
    x = 774.46

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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.