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Finding the Fourth Proportional to 653.79, 902.22 and 359.05

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Solution

The fourth proportional to 653.79, 902.22 and 359.05 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.79 : 902.22 = 359.05 : x
  2. Step 2: Convert to fraction form
    653.79/902.22 = 359.05/x
  3. Step 3: Cross multiply
    653.79x = 902.22 × 359.05
  4. Step 4: Simplify right side
    653.79x = 323,942.09
  5. Step 5: Solve for x
    x = 323,942.09/653.79
  6. Step 6: Final answer
    x = 495.48

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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.