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Finding the Fourth Proportional to 792.50, 1,093.62 and 443.17

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Solution

The fourth proportional to 792.50, 1,093.62 and 443.17 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,093.62 = 443.17 : x
  2. Step 2: Convert to fraction form
    792.50/1,093.62 = 443.17/x
  3. Step 3: Cross multiply
    792.50x = 1,093.62 × 443.17
  4. Step 4: Simplify right side
    792.50x = 484,658.50
  5. Step 5: Solve for x
    x = 484,658.50/792.50
  6. Step 6: Final answer
    x = 611.55

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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.