Home / 1,146.78-1,583.28-727.20

Finding the Fourth Proportional to 1,146.78, 1,583.28 and 727.20

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Solution

The fourth proportional to 1,146.78, 1,583.28 and 727.20 is: 1,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.78 : 1,583.28 = 727.20 : x
  2. Step 2: Convert to fraction form
    1,146.78/1,583.28 = 727.20/x
  3. Step 3: Cross multiply
    1,146.78x = 1,583.28 × 727.20
  4. Step 4: Simplify right side
    1,146.78x = 1,151,361.22
  5. Step 5: Solve for x
    x = 1,151,361.22/1,146.78
  6. Step 6: Final answer
    x = 1,003.99

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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.