Home / 1,634.90-2,451.27-769.46

Finding the Fourth Proportional to 1,634.90, 2,451.27 and 769.46

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Solution

The fourth proportional to 1,634.90, 2,451.27 and 769.46 is: 1,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.90 : 2,451.27 = 769.46 : x
  2. Step 2: Convert to fraction form
    1,634.90/2,451.27 = 769.46/x
  3. Step 3: Cross multiply
    1,634.90x = 2,451.27 × 769.46
  4. Step 4: Simplify right side
    1,634.90x = 1,886,154.21
  5. Step 5: Solve for x
    x = 1,886,154.21/1,634.90
  6. Step 6: Final answer
    x = 1,153.68

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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.