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Finding the Fourth Proportional to 794.09, 1,190.80 and 274.15

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Solution

The fourth proportional to 794.09, 1,190.80 and 274.15 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.09 : 1,190.80 = 274.15 : x
  2. Step 2: Convert to fraction form
    794.09/1,190.80 = 274.15/x
  3. Step 3: Cross multiply
    794.09x = 1,190.80 × 274.15
  4. Step 4: Simplify right side
    794.09x = 326,457.82
  5. Step 5: Solve for x
    x = 326,457.82/794.09
  6. Step 6: Final answer
    x = 411.11

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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.