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Finding the Fourth Proportional to 796.69, 1,193.08 and 405.30

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Solution

The fourth proportional to 796.69, 1,193.08 and 405.30 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.69 : 1,193.08 = 405.30 : x
  2. Step 2: Convert to fraction form
    796.69/1,193.08 = 405.30/x
  3. Step 3: Cross multiply
    796.69x = 1,193.08 × 405.30
  4. Step 4: Simplify right side
    796.69x = 483,559.54
  5. Step 5: Solve for x
    x = 483,559.54/796.69
  6. Step 6: Final answer
    x = 606.96

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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.