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Finding the Fourth Proportional to 1,365.97, 1,884.46 and 868.85

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Solution

The fourth proportional to 1,365.97, 1,884.46 and 868.85 is: 1,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.97 : 1,884.46 = 868.85 : x
  2. Step 2: Convert to fraction form
    1,365.97/1,884.46 = 868.85/x
  3. Step 3: Cross multiply
    1,365.97x = 1,884.46 × 868.85
  4. Step 4: Simplify right side
    1,365.97x = 1,637,310.90
  5. Step 5: Solve for x
    x = 1,637,310.90/1,365.97
  6. Step 6: Final answer
    x = 1,198.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.