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Finding the Fourth Proportional to 474.03, 654.17 and 287.49

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Solution

The fourth proportional to 474.03, 654.17 and 287.49 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.03 : 654.17 = 287.49 : x
  2. Step 2: Convert to fraction form
    474.03/654.17 = 287.49/x
  3. Step 3: Cross multiply
    474.03x = 654.17 × 287.49
  4. Step 4: Simplify right side
    474.03x = 188,067.33
  5. Step 5: Solve for x
    x = 188,067.33/474.03
  6. Step 6: Final answer
    x = 396.74

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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.