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Finding the Fourth Proportional to 1,288.01, 1,931.97 and 422.33

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Solution

The fourth proportional to 1,288.01, 1,931.97 and 422.33 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.01 : 1,931.97 = 422.33 : x
  2. Step 2: Convert to fraction form
    1,288.01/1,931.97 = 422.33/x
  3. Step 3: Cross multiply
    1,288.01x = 1,931.97 × 422.33
  4. Step 4: Simplify right side
    1,288.01x = 815,928.89
  5. Step 5: Solve for x
    x = 815,928.89/1,288.01
  6. Step 6: Final answer
    x = 633.48

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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.