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Finding the Fourth Proportional to 825.28, 1,238.16 and 391.84

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Solution

The fourth proportional to 825.28, 1,238.16 and 391.84 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.28 : 1,238.16 = 391.84 : x
  2. Step 2: Convert to fraction form
    825.28/1,238.16 = 391.84/x
  3. Step 3: Cross multiply
    825.28x = 1,238.16 × 391.84
  4. Step 4: Simplify right side
    825.28x = 485,160.61
  5. Step 5: Solve for x
    x = 485,160.61/825.28
  6. Step 6: Final answer
    x = 587.87

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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.