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Finding the Fourth Proportional to 1,944.78, 2,917.59 and 628.61

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Solution

The fourth proportional to 1,944.78, 2,917.59 and 628.61 is: 943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.78 : 2,917.59 = 628.61 : x
  2. Step 2: Convert to fraction form
    1,944.78/2,917.59 = 628.61/x
  3. Step 3: Cross multiply
    1,944.78x = 2,917.59 × 628.61
  4. Step 4: Simplify right side
    1,944.78x = 1,834,009.30
  5. Step 5: Solve for x
    x = 1,834,009.30/1,944.78
  6. Step 6: Final answer
    x = 943.04

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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.