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Finding the Fourth Proportional to 577.04, 796.26 and 321.49

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Solution

The fourth proportional to 577.04, 796.26 and 321.49 is: 443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 796.26 = 321.49 : x
  2. Step 2: Convert to fraction form
    577.04/796.26 = 321.49/x
  3. Step 3: Cross multiply
    577.04x = 796.26 × 321.49
  4. Step 4: Simplify right side
    577.04x = 255,985.65
  5. Step 5: Solve for x
    x = 255,985.65/577.04
  6. Step 6: Final answer
    x = 443.62

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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.