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Finding the Fourth Proportional to 1,288.33, 1,933.40 and 923.42

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Solution

The fourth proportional to 1,288.33, 1,933.40 and 923.42 is: 1,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.33 : 1,933.40 = 923.42 : x
  2. Step 2: Convert to fraction form
    1,288.33/1,933.40 = 923.42/x
  3. Step 3: Cross multiply
    1,288.33x = 1,933.40 × 923.42
  4. Step 4: Simplify right side
    1,288.33x = 1,785,347.37
  5. Step 5: Solve for x
    x = 1,785,347.37/1,288.33
  6. Step 6: Final answer
    x = 1,385.79

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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.