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Finding the Fourth Proportional to 1,120.56, 1,546.44 and 623.19

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Solution

The fourth proportional to 1,120.56, 1,546.44 and 623.19 is: 860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.56 : 1,546.44 = 623.19 : x
  2. Step 2: Convert to fraction form
    1,120.56/1,546.44 = 623.19/x
  3. Step 3: Cross multiply
    1,120.56x = 1,546.44 × 623.19
  4. Step 4: Simplify right side
    1,120.56x = 963,725.94
  5. Step 5: Solve for x
    x = 963,725.94/1,120.56
  6. Step 6: Final answer
    x = 860.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.