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Finding the Fourth Proportional to 654.60, 902.97 and 477.33

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Solution

The fourth proportional to 654.60, 902.97 and 477.33 is: 658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 902.97 = 477.33 : x
  2. Step 2: Convert to fraction form
    654.60/902.97 = 477.33/x
  3. Step 3: Cross multiply
    654.60x = 902.97 × 477.33
  4. Step 4: Simplify right side
    654.60x = 431,016.46
  5. Step 5: Solve for x
    x = 431,016.46/654.60
  6. Step 6: Final answer
    x = 658.44

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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.