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Finding the Fourth Proportional to 794.69, 1,192.09 and 274.75

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Solution

The fourth proportional to 794.69, 1,192.09 and 274.75 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.69 : 1,192.09 = 274.75 : x
  2. Step 2: Convert to fraction form
    794.69/1,192.09 = 274.75/x
  3. Step 3: Cross multiply
    794.69x = 1,192.09 × 274.75
  4. Step 4: Simplify right side
    794.69x = 327,526.73
  5. Step 5: Solve for x
    x = 327,526.73/794.69
  6. Step 6: Final answer
    x = 412.14

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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.