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Finding the Fourth Proportional to 1,116.23, 1,540.61 and 644.43

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Solution

The fourth proportional to 1,116.23, 1,540.61 and 644.43 is: 889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.23 : 1,540.61 = 644.43 : x
  2. Step 2: Convert to fraction form
    1,116.23/1,540.61 = 644.43/x
  3. Step 3: Cross multiply
    1,116.23x = 1,540.61 × 644.43
  4. Step 4: Simplify right side
    1,116.23x = 992,816.91
  5. Step 5: Solve for x
    x = 992,816.91/1,116.23
  6. Step 6: Final answer
    x = 889.44

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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.