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Finding the Fourth Proportional to 1,018.56, 1,414.08 and 986.88

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Solution

The fourth proportional to 1,018.56, 1,414.08 and 986.88 is: 1,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.56 : 1,414.08 = 986.88 : x
  2. Step 2: Convert to fraction form
    1,018.56/1,414.08 = 986.88/x
  3. Step 3: Cross multiply
    1,018.56x = 1,414.08 × 986.88
  4. Step 4: Simplify right side
    1,018.56x = 1,395,527.27
  5. Step 5: Solve for x
    x = 1,395,527.27/1,018.56
  6. Step 6: Final answer
    x = 1,370.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.