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Finding the Fourth Proportional to 800.48, 1,200.52 and 361.56

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Solution

The fourth proportional to 800.48, 1,200.52 and 361.56 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.48 : 1,200.52 = 361.56 : x
  2. Step 2: Convert to fraction form
    800.48/1,200.52 = 361.56/x
  3. Step 3: Cross multiply
    800.48x = 1,200.52 × 361.56
  4. Step 4: Simplify right side
    800.48x = 434,064.97
  5. Step 5: Solve for x
    x = 434,064.97/800.48
  6. Step 6: Final answer
    x = 542.25

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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.