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Finding the Fourth Proportional to 794.78, 1,192.19 and 217.65

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Solution

The fourth proportional to 794.78, 1,192.19 and 217.65 is: 326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.78 : 1,192.19 = 217.65 : x
  2. Step 2: Convert to fraction form
    794.78/1,192.19 = 217.65/x
  3. Step 3: Cross multiply
    794.78x = 1,192.19 × 217.65
  4. Step 4: Simplify right side
    794.78x = 259,483.54
  5. Step 5: Solve for x
    x = 259,483.54/794.78
  6. Step 6: Final answer
    x = 326.49

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1.5x scale

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.