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Finding the Fourth Proportional to 550.68, 821.86 and 504.21

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Solution

The fourth proportional to 550.68, 821.86 and 504.21 is: 752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 821.86 = 504.21 : x
  2. Step 2: Convert to fraction form
    550.68/821.86 = 504.21/x
  3. Step 3: Cross multiply
    550.68x = 821.86 × 504.21
  4. Step 4: Simplify right side
    550.68x = 414,390.03
  5. Step 5: Solve for x
    x = 414,390.03/550.68
  6. Step 6: Final answer
    x = 752.51

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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.