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Finding the Fourth Proportional to 1,225.62, 1,838.22 and 359.73

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Solution

The fourth proportional to 1,225.62, 1,838.22 and 359.73 is: 539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.62 : 1,838.22 = 359.73 : x
  2. Step 2: Convert to fraction form
    1,225.62/1,838.22 = 359.73/x
  3. Step 3: Cross multiply
    1,225.62x = 1,838.22 × 359.73
  4. Step 4: Simplify right side
    1,225.62x = 661,262.88
  5. Step 5: Solve for x
    x = 661,262.88/1,225.62
  6. Step 6: Final answer
    x = 539.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.