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Finding the Fourth Proportional to 550.36, 821.27 and 491.96

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Solution

The fourth proportional to 550.36, 821.27 and 491.96 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 821.27 = 491.96 : x
  2. Step 2: Convert to fraction form
    550.36/821.27 = 491.96/x
  3. Step 3: Cross multiply
    550.36x = 821.27 × 491.96
  4. Step 4: Simplify right side
    550.36x = 404,031.99
  5. Step 5: Solve for x
    x = 404,031.99/550.36
  6. Step 6: Final answer
    x = 734.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.