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Finding the Fourth Proportional to 796.06, 1,192.17 and 405.04

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Solution

The fourth proportional to 796.06, 1,192.17 and 405.04 is: 606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.06 : 1,192.17 = 405.04 : x
  2. Step 2: Convert to fraction form
    796.06/1,192.17 = 405.04/x
  3. Step 3: Cross multiply
    796.06x = 1,192.17 × 405.04
  4. Step 4: Simplify right side
    796.06x = 482,868.55
  5. Step 5: Solve for x
    x = 482,868.55/796.06
  6. Step 6: Final answer
    x = 606.57

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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.