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Finding the Fourth Proportional to 800.67, 1,199.94 and 452.57

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Solution

The fourth proportional to 800.67, 1,199.94 and 452.57 is: 678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.67 : 1,199.94 = 452.57 : x
  2. Step 2: Convert to fraction form
    800.67/1,199.94 = 452.57/x
  3. Step 3: Cross multiply
    800.67x = 1,199.94 × 452.57
  4. Step 4: Simplify right side
    800.67x = 543,050.85
  5. Step 5: Solve for x
    x = 543,050.85/800.67
  6. Step 6: Final answer
    x = 678.25

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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.