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Finding the Fourth Proportional to 577.42, 796.71 and 484.54

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Solution

The fourth proportional to 577.42, 796.71 and 484.54 is: 668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 796.71 = 484.54 : x
  2. Step 2: Convert to fraction form
    577.42/796.71 = 484.54/x
  3. Step 3: Cross multiply
    577.42x = 796.71 × 484.54
  4. Step 4: Simplify right side
    577.42x = 386,037.86
  5. Step 5: Solve for x
    x = 386,037.86/577.42
  6. Step 6: Final answer
    x = 668.56

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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.