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Finding the Fourth Proportional to 1,945.22, 2,917.83 and 646.70

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Solution

The fourth proportional to 1,945.22, 2,917.83 and 646.70 is: 970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.22 : 2,917.83 = 646.70 : x
  2. Step 2: Convert to fraction form
    1,945.22/2,917.83 = 646.70/x
  3. Step 3: Cross multiply
    1,945.22x = 2,917.83 × 646.70
  4. Step 4: Simplify right side
    1,945.22x = 1,886,960.66
  5. Step 5: Solve for x
    x = 1,886,960.66/1,945.22
  6. Step 6: Final answer
    x = 970.05

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1.5x scale

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.