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Finding the Fourth Proportional to 484.82, 728.04 and 412.33

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Solution

The fourth proportional to 484.82, 728.04 and 412.33 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.82 : 728.04 = 412.33 : x
  2. Step 2: Convert to fraction form
    484.82/728.04 = 412.33/x
  3. Step 3: Cross multiply
    484.82x = 728.04 × 412.33
  4. Step 4: Simplify right side
    484.82x = 300,189.09
  5. Step 5: Solve for x
    x = 300,189.09/484.82
  6. Step 6: Final answer
    x = 619.18

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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.