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Finding the Fourth Proportional to 550.36, 759.68 and 410.44

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Solution

The fourth proportional to 550.36, 759.68 and 410.44 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 759.68 = 410.44 : x
  2. Step 2: Convert to fraction form
    550.36/759.68 = 410.44/x
  3. Step 3: Cross multiply
    550.36x = 759.68 × 410.44
  4. Step 4: Simplify right side
    550.36x = 311,803.06
  5. Step 5: Solve for x
    x = 311,803.06/550.36
  6. Step 6: Final answer
    x = 566.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.