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Finding the Fourth Proportional to 1,295.10, 1,786.94 and 771.02

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Solution

The fourth proportional to 1,295.10, 1,786.94 and 771.02 is: 1,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.10 : 1,786.94 = 771.02 : x
  2. Step 2: Convert to fraction form
    1,295.10/1,786.94 = 771.02/x
  3. Step 3: Cross multiply
    1,295.10x = 1,786.94 × 771.02
  4. Step 4: Simplify right side
    1,295.10x = 1,377,766.48
  5. Step 5: Solve for x
    x = 1,377,766.48/1,295.10
  6. Step 6: Final answer
    x = 1,063.83

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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.