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Finding the Fourth Proportional to 1,116.36, 1,540.54 and 723.36

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Solution

The fourth proportional to 1,116.36, 1,540.54 and 723.36 is: 998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.36 : 1,540.54 = 723.36 : x
  2. Step 2: Convert to fraction form
    1,116.36/1,540.54 = 723.36/x
  3. Step 3: Cross multiply
    1,116.36x = 1,540.54 × 723.36
  4. Step 4: Simplify right side
    1,116.36x = 1,114,365.01
  5. Step 5: Solve for x
    x = 1,114,365.01/1,116.36
  6. Step 6: Final answer
    x = 998.21

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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.