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Finding the Fourth Proportional to 624.75, 862.22 and 359.23

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Solution

The fourth proportional to 624.75, 862.22 and 359.23 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 862.22 = 359.23 : x
  2. Step 2: Convert to fraction form
    624.75/862.22 = 359.23/x
  3. Step 3: Cross multiply
    624.75x = 862.22 × 359.23
  4. Step 4: Simplify right side
    624.75x = 309,735.29
  5. Step 5: Solve for x
    x = 309,735.29/624.75
  6. Step 6: Final answer
    x = 495.77

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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.