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Finding the Fourth Proportional to 474.14, 654.54 and 343.82

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Solution

The fourth proportional to 474.14, 654.54 and 343.82 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 654.54 = 343.82 : x
  2. Step 2: Convert to fraction form
    474.14/654.54 = 343.82/x
  3. Step 3: Cross multiply
    474.14x = 654.54 × 343.82
  4. Step 4: Simplify right side
    474.14x = 225,043.94
  5. Step 5: Solve for x
    x = 225,043.94/474.14
  6. Step 6: Final answer
    x = 474.64

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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.