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Finding the Fourth Proportional to 1,288.70, 1,933.19 and 411.00

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Solution

The fourth proportional to 1,288.70, 1,933.19 and 411.00 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.70 : 1,933.19 = 411.00 : x
  2. Step 2: Convert to fraction form
    1,288.70/1,933.19 = 411.00/x
  3. Step 3: Cross multiply
    1,288.70x = 1,933.19 × 411.00
  4. Step 4: Simplify right side
    1,288.70x = 794,533.33
  5. Step 5: Solve for x
    x = 794,533.33/1,288.70
  6. Step 6: Final answer
    x = 616.54

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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.