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Finding the Fourth Proportional to 654.13, 902.70 and 359.41

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Solution

The fourth proportional to 654.13, 902.70 and 359.41 is: 495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 902.70 = 359.41 : x
  2. Step 2: Convert to fraction form
    654.13/902.70 = 359.41/x
  3. Step 3: Cross multiply
    654.13x = 902.70 × 359.41
  4. Step 4: Simplify right side
    654.13x = 324,439.41
  5. Step 5: Solve for x
    x = 324,439.41/654.13
  6. Step 6: Final answer
    x = 495.99

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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.