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Finding the Fourth Proportional to 577.85, 796.03 and 484.56

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Solution

The fourth proportional to 577.85, 796.03 and 484.56 is: 667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.85 : 796.03 = 484.56 : x
  2. Step 2: Convert to fraction form
    577.85/796.03 = 484.56/x
  3. Step 3: Cross multiply
    577.85x = 796.03 × 484.56
  4. Step 4: Simplify right side
    577.85x = 385,723.91
  5. Step 5: Solve for x
    x = 385,723.91/577.85
  6. Step 6: Final answer
    x = 667.52

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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.