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Finding the Fourth Proportional to 794.79, 1,190.02 and 409.23

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Solution

The fourth proportional to 794.79, 1,190.02 and 409.23 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.79 : 1,190.02 = 409.23 : x
  2. Step 2: Convert to fraction form
    794.79/1,190.02 = 409.23/x
  3. Step 3: Cross multiply
    794.79x = 1,190.02 × 409.23
  4. Step 4: Simplify right side
    794.79x = 486,991.88
  5. Step 5: Solve for x
    x = 486,991.88/794.79
  6. Step 6: Final answer
    x = 612.73

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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.