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Finding the Fourth Proportional to 794.88, 1,192.47 and 405.09

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Solution

The fourth proportional to 794.88, 1,192.47 and 405.09 is: 607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,192.47 = 405.09 : x
  2. Step 2: Convert to fraction form
    794.88/1,192.47 = 405.09/x
  3. Step 3: Cross multiply
    794.88x = 1,192.47 × 405.09
  4. Step 4: Simplify right side
    794.88x = 483,057.67
  5. Step 5: Solve for x
    x = 483,057.67/794.88
  6. Step 6: Final answer
    x = 607.71

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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.