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Finding the Fourth Proportional to 474.14, 654.82 and 326.50

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Solution

The fourth proportional to 474.14, 654.82 and 326.50 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 654.82 = 326.50 : x
  2. Step 2: Convert to fraction form
    474.14/654.82 = 326.50/x
  3. Step 3: Cross multiply
    474.14x = 654.82 × 326.50
  4. Step 4: Simplify right side
    474.14x = 213,798.73
  5. Step 5: Solve for x
    x = 213,798.73/474.14
  6. Step 6: Final answer
    x = 450.92

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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.