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Finding the Fourth Proportional to 1,120.78, 1,546.16 and 727.93

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Solution

The fourth proportional to 1,120.78, 1,546.16 and 727.93 is: 1,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.78 : 1,546.16 = 727.93 : x
  2. Step 2: Convert to fraction form
    1,120.78/1,546.16 = 727.93/x
  3. Step 3: Cross multiply
    1,120.78x = 1,546.16 × 727.93
  4. Step 4: Simplify right side
    1,120.78x = 1,125,496.25
  5. Step 5: Solve for x
    x = 1,125,496.25/1,120.78
  6. Step 6: Final answer
    x = 1,004.21

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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.