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Finding the Fourth Proportional to 1,945.31, 2,917.59 and 646.61

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Solution

The fourth proportional to 1,945.31, 2,917.59 and 646.61 is: 969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.31 : 2,917.59 = 646.61 : x
  2. Step 2: Convert to fraction form
    1,945.31/2,917.59 = 646.61/x
  3. Step 3: Cross multiply
    1,945.31x = 2,917.59 × 646.61
  4. Step 4: Simplify right side
    1,945.31x = 1,886,542.87
  5. Step 5: Solve for x
    x = 1,886,542.87/1,945.31
  6. Step 6: Final answer
    x = 969.79

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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.