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Finding the Fourth Proportional to 1,944.50, 2,916.96 and 628.16

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Solution

The fourth proportional to 1,944.50, 2,916.96 and 628.16 is: 942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.50 : 2,916.96 = 628.16 : x
  2. Step 2: Convert to fraction form
    1,944.50/2,916.96 = 628.16/x
  3. Step 3: Cross multiply
    1,944.50x = 2,916.96 × 628.16
  4. Step 4: Simplify right side
    1,944.50x = 1,832,317.59
  5. Step 5: Solve for x
    x = 1,832,317.59/1,944.50
  6. Step 6: Final answer
    x = 942.31

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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.