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Finding the Fourth Proportional to 792.16, 1,093.12 and 442.80

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Solution

The fourth proportional to 792.16, 1,093.12 and 442.80 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,093.12 = 442.80 : x
  2. Step 2: Convert to fraction form
    792.16/1,093.12 = 442.80/x
  3. Step 3: Cross multiply
    792.16x = 1,093.12 × 442.80
  4. Step 4: Simplify right side
    792.16x = 484,033.54
  5. Step 5: Solve for x
    x = 484,033.54/792.16
  6. Step 6: Final answer
    x = 611.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.