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Finding the Fourth Proportional to 794.25, 1,190.61 and 404.07

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Solution

The fourth proportional to 794.25, 1,190.61 and 404.07 is: 605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,190.61 = 404.07 : x
  2. Step 2: Convert to fraction form
    794.25/1,190.61 = 404.07/x
  3. Step 3: Cross multiply
    794.25x = 1,190.61 × 404.07
  4. Step 4: Simplify right side
    794.25x = 481,089.78
  5. Step 5: Solve for x
    x = 481,089.78/794.25
  6. Step 6: Final answer
    x = 605.72

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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.