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Finding the Fourth Proportional to 474.39, 654.41 and 287.82

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Solution

The fourth proportional to 474.39, 654.41 and 287.82 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 654.41 = 287.82 : x
  2. Step 2: Convert to fraction form
    474.39/654.41 = 287.82/x
  3. Step 3: Cross multiply
    474.39x = 654.41 × 287.82
  4. Step 4: Simplify right side
    474.39x = 188,353.01
  5. Step 5: Solve for x
    x = 188,353.01/474.39
  6. Step 6: Final answer
    x = 397.04

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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.