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Finding the Fourth Proportional to 800.69, 1,201.23 and 671.49

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Solution

The fourth proportional to 800.69, 1,201.23 and 671.49 is: 1,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,201.23 = 671.49 : x
  2. Step 2: Convert to fraction form
    800.69/1,201.23 = 671.49/x
  3. Step 3: Cross multiply
    800.69x = 1,201.23 × 671.49
  4. Step 4: Simplify right side
    800.69x = 806,613.93
  5. Step 5: Solve for x
    x = 806,613.93/800.69
  6. Step 6: Final answer
    x = 1,007.40

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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.