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Finding the Fourth Proportional to 1,008.87, 1,393.05 and 843.94

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Solution

The fourth proportional to 1,008.87, 1,393.05 and 843.94 is: 1,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.87 : 1,393.05 = 843.94 : x
  2. Step 2: Convert to fraction form
    1,008.87/1,393.05 = 843.94/x
  3. Step 3: Cross multiply
    1,008.87x = 1,393.05 × 843.94
  4. Step 4: Simplify right side
    1,008.87x = 1,175,650.62
  5. Step 5: Solve for x
    x = 1,175,650.62/1,008.87
  6. Step 6: Final answer
    x = 1,165.31

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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.