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Finding the Fourth Proportional to 1,200.33, 1,800.73 and 420.55

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Solution

The fourth proportional to 1,200.33, 1,800.73 and 420.55 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.33 : 1,800.73 = 420.55 : x
  2. Step 2: Convert to fraction form
    1,200.33/1,800.73 = 420.55/x
  3. Step 3: Cross multiply
    1,200.33x = 1,800.73 × 420.55
  4. Step 4: Simplify right side
    1,200.33x = 757,294.90
  5. Step 5: Solve for x
    x = 757,294.90/1,200.33
  6. Step 6: Final answer
    x = 630.91

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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.