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Finding the Fourth Proportional to 557.21, 769 and 321.23

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Solution

The fourth proportional to 557.21, 769 and 321.23 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 769 = 321.23 : x
  2. Step 2: Convert to fraction form
    557.21/769 = 321.23/x
  3. Step 3: Cross multiply
    557.21x = 769 × 321.23
  4. Step 4: Simplify right side
    557.21x = 247,022.03
  5. Step 5: Solve for x
    x = 247,022.03/557.21
  6. Step 6: Final answer
    x = 443.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.