Home / 1,228.70-1,693.82-933.46

Finding the Fourth Proportional to 1,228.70, 1,693.82 and 933.46

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Solution

The fourth proportional to 1,228.70, 1,693.82 and 933.46 is: 1,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.70 : 1,693.82 = 933.46 : x
  2. Step 2: Convert to fraction form
    1,228.70/1,693.82 = 933.46/x
  3. Step 3: Cross multiply
    1,228.70x = 1,693.82 × 933.46
  4. Step 4: Simplify right side
    1,228.70x = 1,581,100.08
  5. Step 5: Solve for x
    x = 1,581,100.08/1,228.70
  6. Step 6: Final answer
    x = 1,286.81

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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.