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Finding the Fourth Proportional to 1,116.18, 1,540.30 and 644.07

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Solution

The fourth proportional to 1,116.18, 1,540.30 and 644.07 is: 888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.18 : 1,540.30 = 644.07 : x
  2. Step 2: Convert to fraction form
    1,116.18/1,540.30 = 644.07/x
  3. Step 3: Cross multiply
    1,116.18x = 1,540.30 × 644.07
  4. Step 4: Simplify right side
    1,116.18x = 992,059.41
  5. Step 5: Solve for x
    x = 992,059.41/1,116.18
  6. Step 6: Final answer
    x = 888.80

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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.