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Finding the Fourth Proportional to 474.12, 654.89 and 343.71

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Solution

The fourth proportional to 474.12, 654.89 and 343.71 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 654.89 = 343.71 : x
  2. Step 2: Convert to fraction form
    474.12/654.89 = 343.71/x
  3. Step 3: Cross multiply
    474.12x = 654.89 × 343.71
  4. Step 4: Simplify right side
    474.12x = 225,090.52
  5. Step 5: Solve for x
    x = 225,090.52/474.12
  6. Step 6: Final answer
    x = 474.75

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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.