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Finding the Fourth Proportional to 800.34, 1,200.40 and 361.63

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Solution

The fourth proportional to 800.34, 1,200.40 and 361.63 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,200.40 = 361.63 : x
  2. Step 2: Convert to fraction form
    800.34/1,200.40 = 361.63/x
  3. Step 3: Cross multiply
    800.34x = 1,200.40 × 361.63
  4. Step 4: Simplify right side
    800.34x = 434,100.65
  5. Step 5: Solve for x
    x = 434,100.65/800.34
  6. Step 6: Final answer
    x = 542.40

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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.