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Finding the Fourth Proportional to 1,764.50, 2,646.75 and 738.50

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Solution

The fourth proportional to 1,764.50, 2,646.75 and 738.50 is: 1,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.50 : 2,646.75 = 738.50 : x
  2. Step 2: Convert to fraction form
    1,764.50/2,646.75 = 738.50/x
  3. Step 3: Cross multiply
    1,764.50x = 2,646.75 × 738.50
  4. Step 4: Simplify right side
    1,764.50x = 1,954,624.88
  5. Step 5: Solve for x
    x = 1,954,624.88/1,764.50
  6. Step 6: Final answer
    x = 1,107.75

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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.