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Finding the Fourth Proportional to 653.96, 902.54 and 359.26

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Solution

The fourth proportional to 653.96, 902.54 and 359.26 is: 495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 902.54 = 359.26 : x
  2. Step 2: Convert to fraction form
    653.96/902.54 = 359.26/x
  3. Step 3: Cross multiply
    653.96x = 902.54 × 359.26
  4. Step 4: Simplify right side
    653.96x = 324,245.16
  5. Step 5: Solve for x
    x = 324,245.16/653.96
  6. Step 6: Final answer
    x = 495.82

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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.