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Finding the Fourth Proportional to 986.82, 1,360.59 and 809.57

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Solution

The fourth proportional to 986.82, 1,360.59 and 809.57 is: 1,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.82 : 1,360.59 = 809.57 : x
  2. Step 2: Convert to fraction form
    986.82/1,360.59 = 809.57/x
  3. Step 3: Cross multiply
    986.82x = 1,360.59 × 809.57
  4. Step 4: Simplify right side
    986.82x = 1,101,486.04
  5. Step 5: Solve for x
    x = 1,101,486.04/986.82
  6. Step 6: Final answer
    x = 1,116.20

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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.