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Finding the Fourth Proportional to 1,228.70, 1,694.90 and 756.83

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Solution

The fourth proportional to 1,228.70, 1,694.90 and 756.83 is: 1,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.70 : 1,694.90 = 756.83 : x
  2. Step 2: Convert to fraction form
    1,228.70/1,694.90 = 756.83/x
  3. Step 3: Cross multiply
    1,228.70x = 1,694.90 × 756.83
  4. Step 4: Simplify right side
    1,228.70x = 1,282,738.91
  5. Step 5: Solve for x
    x = 1,282,738.91/1,228.70
  6. Step 6: Final answer
    x = 1,043.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.