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Finding the Fourth Proportional to 825.56, 1,238.05 and 414.57

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Solution

The fourth proportional to 825.56, 1,238.05 and 414.57 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.56 : 1,238.05 = 414.57 : x
  2. Step 2: Convert to fraction form
    825.56/1,238.05 = 414.57/x
  3. Step 3: Cross multiply
    825.56x = 1,238.05 × 414.57
  4. Step 4: Simplify right side
    825.56x = 513,258.39
  5. Step 5: Solve for x
    x = 513,258.39/825.56
  6. Step 6: Final answer
    x = 621.71

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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.