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Finding the Fourth Proportional to 653.80, 902.24 and 359.06

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Solution

The fourth proportional to 653.80, 902.24 and 359.06 is: 495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 902.24 = 359.06 : x
  2. Step 2: Convert to fraction form
    653.80/902.24 = 359.06/x
  3. Step 3: Cross multiply
    653.80x = 902.24 × 359.06
  4. Step 4: Simplify right side
    653.80x = 323,958.29
  5. Step 5: Solve for x
    x = 323,958.29/653.80
  6. Step 6: Final answer
    x = 495.50

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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.