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Finding the Fourth Proportional to 794.77, 1,192.09 and 217.69

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Solution

The fourth proportional to 794.77, 1,192.09 and 217.69 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.77 : 1,192.09 = 217.69 : x
  2. Step 2: Convert to fraction form
    794.77/1,192.09 = 217.69/x
  3. Step 3: Cross multiply
    794.77x = 1,192.09 × 217.69
  4. Step 4: Simplify right side
    794.77x = 259,506.07
  5. Step 5: Solve for x
    x = 259,506.07/794.77
  6. Step 6: Final answer
    x = 326.52

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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.