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Finding the Fourth Proportional to 1,118.92, 1,677.64 and 982.24

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Solution

The fourth proportional to 1,118.92, 1,677.64 and 982.24 is: 1,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.92 : 1,677.64 = 982.24 : x
  2. Step 2: Convert to fraction form
    1,118.92/1,677.64 = 982.24/x
  3. Step 3: Cross multiply
    1,118.92x = 1,677.64 × 982.24
  4. Step 4: Simplify right side
    1,118.92x = 1,647,845.11
  5. Step 5: Solve for x
    x = 1,647,845.11/1,118.92
  6. Step 6: Final answer
    x = 1,472.71

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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.