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Finding the Fourth Proportional to 1,786.50, 2,679.84 and 632.34

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Solution

The fourth proportional to 1,786.50, 2,679.84 and 632.34 is: 948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.50 : 2,679.84 = 632.34 : x
  2. Step 2: Convert to fraction form
    1,786.50/2,679.84 = 632.34/x
  3. Step 3: Cross multiply
    1,786.50x = 2,679.84 × 632.34
  4. Step 4: Simplify right side
    1,786.50x = 1,694,570.03
  5. Step 5: Solve for x
    x = 1,694,570.03/1,786.50
  6. Step 6: Final answer
    x = 948.54

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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.