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Finding the Fourth Proportional to 1,375.79, 1,899.05 and 786.92

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Solution

The fourth proportional to 1,375.79, 1,899.05 and 786.92 is: 1,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.79 : 1,899.05 = 786.92 : x
  2. Step 2: Convert to fraction form
    1,375.79/1,899.05 = 786.92/x
  3. Step 3: Cross multiply
    1,375.79x = 1,899.05 × 786.92
  4. Step 4: Simplify right side
    1,375.79x = 1,494,387.00
  5. Step 5: Solve for x
    x = 1,494,387.00/1,375.79
  6. Step 6: Final answer
    x = 1,086.21

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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.