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Finding the Fourth Proportional to 550.35, 822.28 and 531.21

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Solution

The fourth proportional to 550.35, 822.28 and 531.21 is: 793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.35 : 822.28 = 531.21 : x
  2. Step 2: Convert to fraction form
    550.35/822.28 = 531.21/x
  3. Step 3: Cross multiply
    550.35x = 822.28 × 531.21
  4. Step 4: Simplify right side
    550.35x = 436,803.36
  5. Step 5: Solve for x
    x = 436,803.36/550.35
  6. Step 6: Final answer
    x = 793.68

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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.