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Finding the Fourth Proportional to 484.42, 668.94 and 431.97

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Solution

The fourth proportional to 484.42, 668.94 and 431.97 is: 596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 668.94 = 431.97 : x
  2. Step 2: Convert to fraction form
    484.42/668.94 = 431.97/x
  3. Step 3: Cross multiply
    484.42x = 668.94 × 431.97
  4. Step 4: Simplify right side
    484.42x = 288,962.01
  5. Step 5: Solve for x
    x = 288,962.01/484.42
  6. Step 6: Final answer
    x = 596.51

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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.