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Finding the Fourth Proportional to 1,786.78, 2,679.65 and 690.90

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Solution

The fourth proportional to 1,786.78, 2,679.65 and 690.90 is: 1,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.78 : 2,679.65 = 690.90 : x
  2. Step 2: Convert to fraction form
    1,786.78/2,679.65 = 690.90/x
  3. Step 3: Cross multiply
    1,786.78x = 2,679.65 × 690.90
  4. Step 4: Simplify right side
    1,786.78x = 1,851,359.27
  5. Step 5: Solve for x
    x = 1,851,359.27/1,786.78
  6. Step 6: Final answer
    x = 1,036.15

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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.