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Finding the Fourth Proportional to 550.38, 821.62 and 477.48

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Solution

The fourth proportional to 550.38, 821.62 and 477.48 is: 712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.38 : 821.62 = 477.48 : x
  2. Step 2: Convert to fraction form
    550.38/821.62 = 477.48/x
  3. Step 3: Cross multiply
    550.38x = 821.62 × 477.48
  4. Step 4: Simplify right side
    550.38x = 392,307.12
  5. Step 5: Solve for x
    x = 392,307.12/550.38
  6. Step 6: Final answer
    x = 712.79

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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.