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Finding the Fourth Proportional to 1,774.41, 2,660.39 and 786.69

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Solution

The fourth proportional to 1,774.41, 2,660.39 and 786.69 is: 1,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.41 : 2,660.39 = 786.69 : x
  2. Step 2: Convert to fraction form
    1,774.41/2,660.39 = 786.69/x
  3. Step 3: Cross multiply
    1,774.41x = 2,660.39 × 786.69
  4. Step 4: Simplify right side
    1,774.41x = 2,092,886.94
  5. Step 5: Solve for x
    x = 2,092,886.94/1,774.41
  6. Step 6: Final answer
    x = 1,179.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.