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Finding the Fourth Proportional to 1,132.97, 1,698 and 986.09

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Solution

The fourth proportional to 1,132.97, 1,698 and 986.09 is: 1,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.97 : 1,698 = 986.09 : x
  2. Step 2: Convert to fraction form
    1,132.97/1,698 = 986.09/x
  3. Step 3: Cross multiply
    1,132.97x = 1,698 × 986.09
  4. Step 4: Simplify right side
    1,132.97x = 1,674,380.82
  5. Step 5: Solve for x
    x = 1,674,380.82/1,132.97
  6. Step 6: Final answer
    x = 1,477.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.