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Finding the Fourth Proportional to 1,310.43, 1,807.77 and 812.91

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Solution

The fourth proportional to 1,310.43, 1,807.77 and 812.91 is: 1,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.43 : 1,807.77 = 812.91 : x
  2. Step 2: Convert to fraction form
    1,310.43/1,807.77 = 812.91/x
  3. Step 3: Cross multiply
    1,310.43x = 1,807.77 × 812.91
  4. Step 4: Simplify right side
    1,310.43x = 1,469,554.31
  5. Step 5: Solve for x
    x = 1,469,554.31/1,310.43
  6. Step 6: Final answer
    x = 1,121.43

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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.