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Finding the Fourth Proportional to 550.06, 824.24 and 412.97

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Solution

The fourth proportional to 550.06, 824.24 and 412.97 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.06 : 824.24 = 412.97 : x
  2. Step 2: Convert to fraction form
    550.06/824.24 = 412.97/x
  3. Step 3: Cross multiply
    550.06x = 824.24 × 412.97
  4. Step 4: Simplify right side
    550.06x = 340,383.30
  5. Step 5: Solve for x
    x = 340,383.30/550.06
  6. Step 6: Final answer
    x = 618.81

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1.5x scale

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.