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Finding the Fourth Proportional to 825.12, 1,237.32 and 392.04

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Solution

The fourth proportional to 825.12, 1,237.32 and 392.04 is: 587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,237.32 = 392.04 : x
  2. Step 2: Convert to fraction form
    825.12/1,237.32 = 392.04/x
  3. Step 3: Cross multiply
    825.12x = 1,237.32 × 392.04
  4. Step 4: Simplify right side
    825.12x = 485,078.93
  5. Step 5: Solve for x
    x = 485,078.93/825.12
  6. Step 6: Final answer
    x = 587.89

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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.