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Finding the Fourth Proportional to 654.07, 902.61 and 359.33

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Solution

The fourth proportional to 654.07, 902.61 and 359.33 is: 495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.07 : 902.61 = 359.33 : x
  2. Step 2: Convert to fraction form
    654.07/902.61 = 359.33/x
  3. Step 3: Cross multiply
    654.07x = 902.61 × 359.33
  4. Step 4: Simplify right side
    654.07x = 324,328.54
  5. Step 5: Solve for x
    x = 324,328.54/654.07
  6. Step 6: Final answer
    x = 495.87

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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.