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Finding the Fourth Proportional to 800.03, 1,200.42 and 429.62

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Solution

The fourth proportional to 800.03, 1,200.42 and 429.62 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.03 : 1,200.42 = 429.62 : x
  2. Step 2: Convert to fraction form
    800.03/1,200.42 = 429.62/x
  3. Step 3: Cross multiply
    800.03x = 1,200.42 × 429.62
  4. Step 4: Simplify right side
    800.03x = 515,718.44
  5. Step 5: Solve for x
    x = 515,718.44/800.03
  6. Step 6: Final answer
    x = 644.63

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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.