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Finding the Fourth Proportional to 474.31, 654.55 and 287.75

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Solution

The fourth proportional to 474.31, 654.55 and 287.75 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.31 : 654.55 = 287.75 : x
  2. Step 2: Convert to fraction form
    474.31/654.55 = 287.75/x
  3. Step 3: Cross multiply
    474.31x = 654.55 × 287.75
  4. Step 4: Simplify right side
    474.31x = 188,343.69
  5. Step 5: Solve for x
    x = 188,343.69/474.31
  6. Step 6: Final answer
    x = 397.09

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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.