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Finding the Fourth Proportional to 550.53, 821.88 and 468.54

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Solution

The fourth proportional to 550.53, 821.88 and 468.54 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.53 : 821.88 = 468.54 : x
  2. Step 2: Convert to fraction form
    550.53/821.88 = 468.54/x
  3. Step 3: Cross multiply
    550.53x = 821.88 × 468.54
  4. Step 4: Simplify right side
    550.53x = 385,083.66
  5. Step 5: Solve for x
    x = 385,083.66/550.53
  6. Step 6: Final answer
    x = 699.48

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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.