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Finding the Fourth Proportional to 1,116.56, 1,680.99 and 987.27

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Solution

The fourth proportional to 1,116.56, 1,680.99 and 987.27 is: 1,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.56 : 1,680.99 = 987.27 : x
  2. Step 2: Convert to fraction form
    1,116.56/1,680.99 = 987.27/x
  3. Step 3: Cross multiply
    1,116.56x = 1,680.99 × 987.27
  4. Step 4: Simplify right side
    1,116.56x = 1,659,591.00
  5. Step 5: Solve for x
    x = 1,659,591.00/1,116.56
  6. Step 6: Final answer
    x = 1,486.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.