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Finding the Fourth Proportional to 825.20, 1,237.28 and 392.48

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Solution

The fourth proportional to 825.20, 1,237.28 and 392.48 is: 588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,237.28 = 392.48 : x
  2. Step 2: Convert to fraction form
    825.20/1,237.28 = 392.48/x
  3. Step 3: Cross multiply
    825.20x = 1,237.28 × 392.48
  4. Step 4: Simplify right side
    825.20x = 485,607.65
  5. Step 5: Solve for x
    x = 485,607.65/825.20
  6. Step 6: Final answer
    x = 588.47

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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.