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Finding the Fourth Proportional to 1,120.56, 1,546.32 and 654.96

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Solution

The fourth proportional to 1,120.56, 1,546.32 and 654.96 is: 903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.56 : 1,546.32 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,120.56/1,546.32 = 654.96/x
  3. Step 3: Cross multiply
    1,120.56x = 1,546.32 × 654.96
  4. Step 4: Simplify right side
    1,120.56x = 1,012,777.75
  5. Step 5: Solve for x
    x = 1,012,777.75/1,120.56
  6. Step 6: Final answer
    x = 903.81

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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.