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Finding the Fourth Proportional to 534.09, 800.44 and 412.09

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Solution

The fourth proportional to 534.09, 800.44 and 412.09 is: 617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 800.44 = 412.09 : x
  2. Step 2: Convert to fraction form
    534.09/800.44 = 412.09/x
  3. Step 3: Cross multiply
    534.09x = 800.44 × 412.09
  4. Step 4: Simplify right side
    534.09x = 329,854.84
  5. Step 5: Solve for x
    x = 329,854.84/534.09
  6. Step 6: Final answer
    x = 617.61

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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.