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Finding the Fourth Proportional to 1,354.36, 2,029.88 and 769.85

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Solution

The fourth proportional to 1,354.36, 2,029.88 and 769.85 is: 1,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.36 : 2,029.88 = 769.85 : x
  2. Step 2: Convert to fraction form
    1,354.36/2,029.88 = 769.85/x
  3. Step 3: Cross multiply
    1,354.36x = 2,029.88 × 769.85
  4. Step 4: Simplify right side
    1,354.36x = 1,562,706.05
  5. Step 5: Solve for x
    x = 1,562,706.05/1,354.36
  6. Step 6: Final answer
    x = 1,153.83

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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.