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Finding the Fourth Proportional to 800.43, 1,199.97 and 540.42

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Solution

The fourth proportional to 800.43, 1,199.97 and 540.42 is: 810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.43 : 1,199.97 = 540.42 : x
  2. Step 2: Convert to fraction form
    800.43/1,199.97 = 540.42/x
  3. Step 3: Cross multiply
    800.43x = 1,199.97 × 540.42
  4. Step 4: Simplify right side
    800.43x = 648,487.79
  5. Step 5: Solve for x
    x = 648,487.79/800.43
  6. Step 6: Final answer
    x = 810.17

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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.