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Finding the Fourth Proportional to 2,256.72, 3,385.80 and 958.20

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Solution

The fourth proportional to 2,256.72, 3,385.80 and 958.20 is: 1,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.72 : 3,385.80 = 958.20 : x
  2. Step 2: Convert to fraction form
    2,256.72/3,385.80 = 958.20/x
  3. Step 3: Cross multiply
    2,256.72x = 3,385.80 × 958.20
  4. Step 4: Simplify right side
    2,256.72x = 3,244,273.56
  5. Step 5: Solve for x
    x = 3,244,273.56/2,256.72
  6. Step 6: Final answer
    x = 1,437.61

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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.