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Finding the Fourth Proportional to 1,116.76, 1,540.78 and 644.60

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Solution

The fourth proportional to 1,116.76, 1,540.78 and 644.60 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.76 : 1,540.78 = 644.60 : x
  2. Step 2: Convert to fraction form
    1,116.76/1,540.78 = 644.60/x
  3. Step 3: Cross multiply
    1,116.76x = 1,540.78 × 644.60
  4. Step 4: Simplify right side
    1,116.76x = 993,179.08
  5. Step 5: Solve for x
    x = 993,179.08/1,116.76
  6. Step 6: Final answer
    x = 889.34

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Half scale
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1.5x scale

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.