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Finding the Fourth Proportional to 564.96, 843.17 and 550.38

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Solution

The fourth proportional to 564.96, 843.17 and 550.38 is: 821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 843.17 = 550.38 : x
  2. Step 2: Convert to fraction form
    564.96/843.17 = 550.38/x
  3. Step 3: Cross multiply
    564.96x = 843.17 × 550.38
  4. Step 4: Simplify right side
    564.96x = 464,061.15
  5. Step 5: Solve for x
    x = 464,061.15/564.96
  6. Step 6: Final answer
    x = 821.41

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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.