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Finding the Fourth Proportional to 2,232.33, 3,345.90 and 844.78

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Solution

The fourth proportional to 2,232.33, 3,345.90 and 844.78 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.33 : 3,345.90 = 844.78 : x
  2. Step 2: Convert to fraction form
    2,232.33/3,345.90 = 844.78/x
  3. Step 3: Cross multiply
    2,232.33x = 3,345.90 × 844.78
  4. Step 4: Simplify right side
    2,232.33x = 2,826,549.40
  5. Step 5: Solve for x
    x = 2,826,549.40/2,232.33
  6. Step 6: Final answer
    x = 1,266.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.