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Finding the Fourth Proportional to 1,200.92, 1,800.09 and 420.62

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Solution

The fourth proportional to 1,200.92, 1,800.09 and 420.62 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.92 : 1,800.09 = 420.62 : x
  2. Step 2: Convert to fraction form
    1,200.92/1,800.09 = 420.62/x
  3. Step 3: Cross multiply
    1,200.92x = 1,800.09 × 420.62
  4. Step 4: Simplify right side
    1,200.92x = 757,153.86
  5. Step 5: Solve for x
    x = 757,153.86/1,200.92
  6. Step 6: Final answer
    x = 630.48

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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.